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Finding the Third Proportional to 253,787.63 and 564,310.13

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Solution

The third proportional to 253,787.63 and 564,310.13 is: 1,254,773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,787.63 : 564,310.13 = 564,310.13 : x
  2. Step 2: Convert to fraction form
    253,787.63/564,310.13 = 564,310.13/x
  3. Step 3: Cross multiply
    253,787.63x = 564,310.13 × 564,310.13
  4. Step 4: Simplify right side
    253,787.63x = 318,445,917,177.52
  5. Step 5: Solve for x
    x = 318,445,917,177.52/253,787.63
  6. Step 6: Final answer
    x = 1,254,773.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.