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Finding the Third Proportional to 360,449 and 767,486

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Solution

The third proportional to 360,449 and 767,486 is: 1,634,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,449 : 767,486 = 767,486 : x
  2. Step 2: Convert to fraction form
    360,449/767,486 = 767,486/x
  3. Step 3: Cross multiply
    360,449x = 767,486 × 767,486
  4. Step 4: Simplify right side
    360,449x = 589,034,760,196
  5. Step 5: Solve for x
    x = 589,034,760,196/360,449
  6. Step 6: Final answer
    x = 1,634,169.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.