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Finding the Third Proportional to 532,005.75 and 731,565

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Solution

The third proportional to 532,005.75 and 731,565 is: 1,005,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,005.75 : 731,565 = 731,565 : x
  2. Step 2: Convert to fraction form
    532,005.75/731,565 = 731,565/x
  3. Step 3: Cross multiply
    532,005.75x = 731,565 × 731,565
  4. Step 4: Simplify right side
    532,005.75x = 535,187,349,225
  5. Step 5: Solve for x
    x = 535,187,349,225/532,005.75
  6. Step 6: Final answer
    x = 1,005,980.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.