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Finding the Third Proportional to 457,822 and 673,502

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Solution

The third proportional to 457,822 and 673,502 is: 990,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,822 : 673,502 = 673,502 : x
  2. Step 2: Convert to fraction form
    457,822/673,502 = 673,502/x
  3. Step 3: Cross multiply
    457,822x = 673,502 × 673,502
  4. Step 4: Simplify right side
    457,822x = 453,604,944,004
  5. Step 5: Solve for x
    x = 453,604,944,004/457,822
  6. Step 6: Final answer
    x = 990,788.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.