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Finding the Third Proportional to 267,916.50 and 577,898.25

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Solution

The third proportional to 267,916.50 and 577,898.25 is: 1,246,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,916.50 : 577,898.25 = 577,898.25 : x
  2. Step 2: Convert to fraction form
    267,916.50/577,898.25 = 577,898.25/x
  3. Step 3: Cross multiply
    267,916.50x = 577,898.25 × 577,898.25
  4. Step 4: Simplify right side
    267,916.50x = 333,966,387,353.06
  5. Step 5: Solve for x
    x = 333,966,387,353.06/267,916.50
  6. Step 6: Final answer
    x = 1,246,531.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.