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Finding the Third Proportional to 676,332 and 1,012,356

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Solution

The third proportional to 676,332 and 1,012,356 is: 1,515,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,332 : 1,012,356 = 1,012,356 : x
  2. Step 2: Convert to fraction form
    676,332/1,012,356 = 1,012,356/x
  3. Step 3: Cross multiply
    676,332x = 1,012,356 × 1,012,356
  4. Step 4: Simplify right side
    676,332x = 1,024,864,670,736
  5. Step 5: Solve for x
    x = 1,024,864,670,736/676,332
  6. Step 6: Final answer
    x = 1,515,327.78

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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.