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Finding the Third Proportional to 369,719 and 756,952

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Solution

The third proportional to 369,719 and 756,952 is: 1,549,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,719 : 756,952 = 756,952 : x
  2. Step 2: Convert to fraction form
    369,719/756,952 = 756,952/x
  3. Step 3: Cross multiply
    369,719x = 756,952 × 756,952
  4. Step 4: Simplify right side
    369,719x = 572,976,330,304
  5. Step 5: Solve for x
    x = 572,976,330,304/369,719
  6. Step 6: Final answer
    x = 1,549,761.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.