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Finding the Third Proportional to 272,525 and 586,486

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Solution

The third proportional to 272,525 and 586,486 is: 1,262,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,525 : 586,486 = 586,486 : x
  2. Step 2: Convert to fraction form
    272,525/586,486 = 586,486/x
  3. Step 3: Cross multiply
    272,525x = 586,486 × 586,486
  4. Step 4: Simplify right side
    272,525x = 343,965,828,196
  5. Step 5: Solve for x
    x = 343,965,828,196/272,525
  6. Step 6: Final answer
    x = 1,262,144.13

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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.