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Finding the Third Proportional to 272,523 and 586,482

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Solution

The third proportional to 272,523 and 586,482 is: 1,262,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,523 : 586,482 = 586,482 : x
  2. Step 2: Convert to fraction form
    272,523/586,482 = 586,482/x
  3. Step 3: Cross multiply
    272,523x = 586,482 × 586,482
  4. Step 4: Simplify right side
    272,523x = 343,961,136,324
  5. Step 5: Solve for x
    x = 343,961,136,324/272,523
  6. Step 6: Final answer
    x = 1,262,136.17

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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.