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Finding the Third Proportional to 469,344 and 672,570

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Solution

The third proportional to 469,344 and 672,570 is: 963,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,344 : 672,570 = 672,570 : x
  2. Step 2: Convert to fraction form
    469,344/672,570 = 672,570/x
  3. Step 3: Cross multiply
    469,344x = 672,570 × 672,570
  4. Step 4: Simplify right side
    469,344x = 452,350,404,900
  5. Step 5: Solve for x
    x = 452,350,404,900/469,344
  6. Step 6: Final answer
    x = 963,792.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.