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Finding the Third Proportional to 369,724 and 756,972

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Solution

The third proportional to 369,724 and 756,972 is: 1,549,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,724 : 756,972 = 756,972 : x
  2. Step 2: Convert to fraction form
    369,724/756,972 = 756,972/x
  3. Step 3: Cross multiply
    369,724x = 756,972 × 756,972
  4. Step 4: Simplify right side
    369,724x = 573,006,608,784
  5. Step 5: Solve for x
    x = 573,006,608,784/369,724
  6. Step 6: Final answer
    x = 1,549,822.59

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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.