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Finding the Third Proportional to 292,404.94 and 366,024.45

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Solution

The third proportional to 292,404.94 and 366,024.45 is: 458,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,404.94 : 366,024.45 = 366,024.45 : x
  2. Step 2: Convert to fraction form
    292,404.94/366,024.45 = 366,024.45/x
  3. Step 3: Cross multiply
    292,404.94x = 366,024.45 × 366,024.45
  4. Step 4: Simplify right side
    292,404.94x = 133,973,894,566.32
  5. Step 5: Solve for x
    x = 133,973,894,566.32/292,404.94
  6. Step 6: Final answer
    x = 458,179.32

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.