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Finding the Third Proportional to 461,702 and 709,199

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Solution

The third proportional to 461,702 and 709,199 is: 1,089,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,702 : 709,199 = 709,199 : x
  2. Step 2: Convert to fraction form
    461,702/709,199 = 709,199/x
  3. Step 3: Cross multiply
    461,702x = 709,199 × 709,199
  4. Step 4: Simplify right side
    461,702x = 502,963,221,601
  5. Step 5: Solve for x
    x = 502,963,221,601/461,702
  6. Step 6: Final answer
    x = 1,089,367.65

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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.