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Finding the Third Proportional to 272,522 and 586,480

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Solution

The third proportional to 272,522 and 586,480 is: 1,262,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,522 : 586,480 = 586,480 : x
  2. Step 2: Convert to fraction form
    272,522/586,480 = 586,480/x
  3. Step 3: Cross multiply
    272,522x = 586,480 × 586,480
  4. Step 4: Simplify right side
    272,522x = 343,958,790,400
  5. Step 5: Solve for x
    x = 343,958,790,400/272,522
  6. Step 6: Final answer
    x = 1,262,132.20

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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.