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Finding the Third Proportional to 563,422.50 and 872,472.38

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Solution

The third proportional to 563,422.50 and 872,472.38 is: 1,351,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,422.50 : 872,472.38 = 872,472.38 : x
  2. Step 2: Convert to fraction form
    563,422.50/872,472.38 = 872,472.38/x
  3. Step 3: Cross multiply
    563,422.50x = 872,472.38 × 872,472.38
  4. Step 4: Simplify right side
    563,422.50x = 761,208,045,138.14
  5. Step 5: Solve for x
    x = 761,208,045,138.14/563,422.50
  6. Step 6: Final answer
    x = 1,351,043.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.