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Finding the Third Proportional to 360,264 and 783,952

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Solution

The third proportional to 360,264 and 783,952 is: 1,705,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,264 : 783,952 = 783,952 : x
  2. Step 2: Convert to fraction form
    360,264/783,952 = 783,952/x
  3. Step 3: Cross multiply
    360,264x = 783,952 × 783,952
  4. Step 4: Simplify right side
    360,264x = 614,580,738,304
  5. Step 5: Solve for x
    x = 614,580,738,304/360,264
  6. Step 6: Final answer
    x = 1,705,917.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.