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Finding the Third Proportional to 531,454.92 and 546,763.92

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Solution

The third proportional to 531,454.92 and 546,763.92 is: 562,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,454.92 : 546,763.92 = 546,763.92 : x
  2. Step 2: Convert to fraction form
    531,454.92/546,763.92 = 546,763.92/x
  3. Step 3: Cross multiply
    531,454.92x = 546,763.92 × 546,763.92
  4. Step 4: Simplify right side
    531,454.92x = 298,950,786,264.13
  5. Step 5: Solve for x
    x = 298,950,786,264.13/531,454.92
  6. Step 6: Final answer
    x = 562,513.91

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These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.