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Finding the Third Proportional to 369,721 and 756,955

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Solution

The third proportional to 369,721 and 756,955 is: 1,549,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,721 : 756,955 = 756,955 : x
  2. Step 2: Convert to fraction form
    369,721/756,955 = 756,955/x
  3. Step 3: Cross multiply
    369,721x = 756,955 × 756,955
  4. Step 4: Simplify right side
    369,721x = 572,980,872,025
  5. Step 5: Solve for x
    x = 572,980,872,025/369,721
  6. Step 6: Final answer
    x = 1,549,765.56

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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.