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Finding the Third Proportional to 665,499 and 997,924.50

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Solution

The third proportional to 665,499 and 997,924.50 is: 1,496,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,499 : 997,924.50 = 997,924.50 : x
  2. Step 2: Convert to fraction form
    665,499/997,924.50 = 997,924.50/x
  3. Step 3: Cross multiply
    665,499x = 997,924.50 × 997,924.50
  4. Step 4: Simplify right side
    665,499x = 995,853,307,700.25
  5. Step 5: Solve for x
    x = 995,853,307,700.25/665,499
  6. Step 6: Final answer
    x = 1,496,400.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.