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Finding the Third Proportional to 272,524 and 586,484

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Solution

The third proportional to 272,524 and 586,484 is: 1,262,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,524 : 586,484 = 586,484 : x
  2. Step 2: Convert to fraction form
    272,524/586,484 = 586,484/x
  3. Step 3: Cross multiply
    272,524x = 586,484 × 586,484
  4. Step 4: Simplify right side
    272,524x = 343,963,482,256
  5. Step 5: Solve for x
    x = 343,963,482,256/272,524
  6. Step 6: Final answer
    x = 1,262,140.15

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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.