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Finding the Third Proportional to 413,545.50 and 561,254.06

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Solution

The third proportional to 413,545.50 and 561,254.06 is: 761,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,545.50 : 561,254.06 = 561,254.06 : x
  2. Step 2: Convert to fraction form
    413,545.50/561,254.06 = 561,254.06/x
  3. Step 3: Cross multiply
    413,545.50x = 561,254.06 × 561,254.06
  4. Step 4: Simplify right side
    413,545.50x = 315,006,122,672.75
  5. Step 5: Solve for x
    x = 315,006,122,672.75/413,545.50
  6. Step 6: Final answer
    x = 761,720.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.