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Finding the Third Proportional to 656,398.69 and 884,869.31

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Solution

The third proportional to 656,398.69 and 884,869.31 is: 1,192,862.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,398.69 : 884,869.31 = 884,869.31 : x
  2. Step 2: Convert to fraction form
    656,398.69/884,869.31 = 884,869.31/x
  3. Step 3: Cross multiply
    656,398.69x = 884,869.31 × 884,869.31
  4. Step 4: Simplify right side
    656,398.69x = 782,993,700,204.22
  5. Step 5: Solve for x
    x = 782,993,700,204.22/656,398.69
  6. Step 6: Final answer
    x = 1,192,862.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.