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Finding the Third Proportional to 461,652.25 and 709,154.13

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Solution

The third proportional to 461,652.25 and 709,154.13 is: 1,089,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,652.25 : 709,154.13 = 709,154.13 : x
  2. Step 2: Convert to fraction form
    461,652.25/709,154.13 = 709,154.13/x
  3. Step 3: Cross multiply
    461,652.25x = 709,154.13 × 709,154.13
  4. Step 4: Simplify right side
    461,652.25x = 502,899,573,004.52
  5. Step 5: Solve for x
    x = 502,899,573,004.52/461,652.25
  6. Step 6: Final answer
    x = 1,089,347.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.