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Finding the Third Proportional to 280,294 and 597,960

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Solution

The third proportional to 280,294 and 597,960 is: 1,275,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,294 : 597,960 = 597,960 : x
  2. Step 2: Convert to fraction form
    280,294/597,960 = 597,960/x
  3. Step 3: Cross multiply
    280,294x = 597,960 × 597,960
  4. Step 4: Simplify right side
    280,294x = 357,556,161,600
  5. Step 5: Solve for x
    x = 357,556,161,600/280,294
  6. Step 6: Final answer
    x = 1,275,646.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.