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Finding the Third Proportional to 665,515.13 and 997,948.13

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Solution

The third proportional to 665,515.13 and 997,948.13 is: 1,496,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,515.13 : 997,948.13 = 997,948.13 : x
  2. Step 2: Convert to fraction form
    665,515.13/997,948.13 = 997,948.13/x
  3. Step 3: Cross multiply
    665,515.13x = 997,948.13 × 997,948.13
  4. Step 4: Simplify right side
    665,515.13x = 995,900,460,191.02
  5. Step 5: Solve for x
    x = 995,900,460,191.02/665,515.13
  6. Step 6: Final answer
    x = 1,496,435.50

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Why These Related Problems?

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