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Finding the Third Proportional to 482,464.50 and 709,663.31

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Solution

The third proportional to 482,464.50 and 709,663.31 is: 1,043,853.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,464.50 : 709,663.31 = 709,663.31 : x
  2. Step 2: Convert to fraction form
    482,464.50/709,663.31 = 709,663.31/x
  3. Step 3: Cross multiply
    482,464.50x = 709,663.31 × 709,663.31
  4. Step 4: Simplify right side
    482,464.50x = 503,622,017,108.47
  5. Step 5: Solve for x
    x = 503,622,017,108.47/482,464.50
  6. Step 6: Final answer
    x = 1,043,853.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.