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Finding the Third Proportional to 366,457.88 and 560,585.25

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Solution

The third proportional to 366,457.88 and 560,585.25 is: 857,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,457.88 : 560,585.25 = 560,585.25 : x
  2. Step 2: Convert to fraction form
    366,457.88/560,585.25 = 560,585.25/x
  3. Step 3: Cross multiply
    366,457.88x = 560,585.25 × 560,585.25
  4. Step 4: Simplify right side
    366,457.88x = 314,255,822,517.56
  5. Step 5: Solve for x
    x = 314,255,822,517.56/366,457.88
  6. Step 6: Final answer
    x = 857,549.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.