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Finding the Third Proportional to 360,387 and 546,903

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Solution

The third proportional to 360,387 and 546,903 is: 829,949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,387 : 546,903 = 546,903 : x
  2. Step 2: Convert to fraction form
    360,387/546,903 = 546,903/x
  3. Step 3: Cross multiply
    360,387x = 546,903 × 546,903
  4. Step 4: Simplify right side
    360,387x = 299,102,891,409
  5. Step 5: Solve for x
    x = 299,102,891,409/360,387
  6. Step 6: Final answer
    x = 829,949.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.