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Finding the Third Proportional to 413,974.13 and 623,008.13

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Solution

The third proportional to 413,974.13 and 623,008.13 is: 937,592.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,974.13 : 623,008.13 = 623,008.13 : x
  2. Step 2: Convert to fraction form
    413,974.13/623,008.13 = 623,008.13/x
  3. Step 3: Cross multiply
    413,974.13x = 623,008.13 × 623,008.13
  4. Step 4: Simplify right side
    413,974.13x = 388,139,123,816.02
  5. Step 5: Solve for x
    x = 388,139,123,816.02/413,974.13
  6. Step 6: Final answer
    x = 937,592.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.