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Finding the Third Proportional to 664,348 and 1,031,523

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Solution

The third proportional to 664,348 and 1,031,523 is: 1,601,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,348 : 1,031,523 = 1,031,523 : x
  2. Step 2: Convert to fraction form
    664,348/1,031,523 = 1,031,523/x
  3. Step 3: Cross multiply
    664,348x = 1,031,523 × 1,031,523
  4. Step 4: Simplify right side
    664,348x = 1,064,039,699,529
  5. Step 5: Solve for x
    x = 1,064,039,699,529/664,348
  6. Step 6: Final answer
    x = 1,601,630.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.