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Finding the Third Proportional to 467,165.81 and 617,248.69

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Solution

The third proportional to 467,165.81 and 617,248.69 is: 815,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,165.81 : 617,248.69 = 617,248.69 : x
  2. Step 2: Convert to fraction form
    467,165.81/617,248.69 = 617,248.69/x
  3. Step 3: Cross multiply
    467,165.81x = 617,248.69 × 617,248.69
  4. Step 4: Simplify right side
    467,165.81x = 380,995,942,220.47
  5. Step 5: Solve for x
    x = 380,995,942,220.47/467,165.81
  6. Step 6: Final answer
    x = 815,547.57

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.