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Finding the Third Proportional to 479,523 and 716,001

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Solution

The third proportional to 479,523 and 716,001 is: 1,069,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,523 : 716,001 = 716,001 : x
  2. Step 2: Convert to fraction form
    479,523/716,001 = 716,001/x
  3. Step 3: Cross multiply
    479,523x = 716,001 × 716,001
  4. Step 4: Simplify right side
    479,523x = 512,657,432,001
  5. Step 5: Solve for x
    x = 512,657,432,001/479,523
  6. Step 6: Final answer
    x = 1,069,098.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.