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Finding the Third Proportional to 435,358.13 and 659,610

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Solution

The third proportional to 435,358.13 and 659,610 is: 999,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,358.13 : 659,610 = 659,610 : x
  2. Step 2: Convert to fraction form
    435,358.13/659,610 = 659,610/x
  3. Step 3: Cross multiply
    435,358.13x = 659,610 × 659,610
  4. Step 4: Simplify right side
    435,358.13x = 435,085,352,100
  5. Step 5: Solve for x
    x = 435,085,352,100/435,358.13
  6. Step 6: Final answer
    x = 999,373.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.