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Finding the Third Proportional to 462,963 and 660,767

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Solution

The third proportional to 462,963 and 660,767 is: 943,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,963 : 660,767 = 660,767 : x
  2. Step 2: Convert to fraction form
    462,963/660,767 = 660,767/x
  3. Step 3: Cross multiply
    462,963x = 660,767 × 660,767
  4. Step 4: Simplify right side
    462,963x = 436,613,028,289
  5. Step 5: Solve for x
    x = 436,613,028,289/462,963
  6. Step 6: Final answer
    x = 943,084.07

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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.