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Finding the Third Proportional to 267,594 and 579,294

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Solution

The third proportional to 267,594 and 579,294 is: 1,254,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,594 : 579,294 = 579,294 : x
  2. Step 2: Convert to fraction form
    267,594/579,294 = 579,294/x
  3. Step 3: Cross multiply
    267,594x = 579,294 × 579,294
  4. Step 4: Simplify right side
    267,594x = 335,581,538,436
  5. Step 5: Solve for x
    x = 335,581,538,436/267,594
  6. Step 6: Final answer
    x = 1,254,069.74

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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.