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Finding the Third Proportional to 272,592 and 586,656

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Solution

The third proportional to 272,592 and 586,656 is: 1,262,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,592 : 586,656 = 586,656 : x
  2. Step 2: Convert to fraction form
    272,592/586,656 = 586,656/x
  3. Step 3: Cross multiply
    272,592x = 586,656 × 586,656
  4. Step 4: Simplify right side
    272,592x = 344,165,262,336
  5. Step 5: Solve for x
    x = 344,165,262,336/272,592
  6. Step 6: Final answer
    x = 1,262,565.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.