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Finding the Third Proportional to 521,196 and 783,048

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Solution

The third proportional to 521,196 and 783,048 is: 1,176,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,196 : 783,048 = 783,048 : x
  2. Step 2: Convert to fraction form
    521,196/783,048 = 783,048/x
  3. Step 3: Cross multiply
    521,196x = 783,048 × 783,048
  4. Step 4: Simplify right side
    521,196x = 613,164,170,304
  5. Step 5: Solve for x
    x = 613,164,170,304/521,196
  6. Step 6: Final answer
    x = 1,176,456.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.