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Finding the Third Proportional to 264,294,528.75 and 579,412,774.13

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Solution

The third proportional to 264,294,528.75 and 579,412,774.13 is: 1,270,246,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,294,528.75 : 579,412,774.13 = 579,412,774.13 : x
  2. Step 2: Convert to fraction form
    264,294,528.75/579,412,774.13 = 579,412,774.13/x
  3. Step 3: Cross multiply
    264,294,528.75x = 579,412,774.13 × 579,412,774.13
  4. Step 4: Simplify right side
    264,294,528.75x = 335,719,162,819,228,288
  5. Step 5: Solve for x
    x = 335,719,162,819,228,288/264,294,528.75
  6. Step 6: Final answer
    x = 1,270,246,358.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.