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Finding the Third Proportional to 292,707.74 and 439,061.61

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Solution

The third proportional to 292,707.74 and 439,061.61 is: 658,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,707.74 : 439,061.61 = 439,061.61 : x
  2. Step 2: Convert to fraction form
    292,707.74/439,061.61 = 439,061.61/x
  3. Step 3: Cross multiply
    292,707.74x = 439,061.61 × 439,061.61
  4. Step 4: Simplify right side
    292,707.74x = 192,775,095,111.89
  5. Step 5: Solve for x
    x = 192,775,095,111.89/292,707.74
  6. Step 6: Final answer
    x = 658,592.41

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