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Finding the Third Proportional to 369,726 and 756,965

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Solution

The third proportional to 369,726 and 756,965 is: 1,549,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,726 : 756,965 = 756,965 : x
  2. Step 2: Convert to fraction form
    369,726/756,965 = 756,965/x
  3. Step 3: Cross multiply
    369,726x = 756,965 × 756,965
  4. Step 4: Simplify right side
    369,726x = 572,996,011,225
  5. Step 5: Solve for x
    x = 572,996,011,225/369,726
  6. Step 6: Final answer
    x = 1,549,785.55

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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.