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Finding the Third Proportional to 360,391 and 546,909

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Solution

The third proportional to 360,391 and 546,909 is: 829,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,391 : 546,909 = 546,909 : x
  2. Step 2: Convert to fraction form
    360,391/546,909 = 546,909/x
  3. Step 3: Cross multiply
    360,391x = 546,909 × 546,909
  4. Step 4: Simplify right side
    360,391x = 299,109,454,281
  5. Step 5: Solve for x
    x = 299,109,454,281/360,391
  6. Step 6: Final answer
    x = 829,958.17

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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.