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Finding the Third Proportional to 309,862.50 and 656,931

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Solution

The third proportional to 309,862.50 and 656,931 is: 1,392,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,862.50 : 656,931 = 656,931 : x
  2. Step 2: Convert to fraction form
    309,862.50/656,931 = 656,931/x
  3. Step 3: Cross multiply
    309,862.50x = 656,931 × 656,931
  4. Step 4: Simplify right side
    309,862.50x = 431,558,338,761
  5. Step 5: Solve for x
    x = 431,558,338,761/309,862.50
  6. Step 6: Final answer
    x = 1,392,741.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.