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Finding the Third Proportional to 369,709 and 756,931

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Solution

The third proportional to 369,709 and 756,931 is: 1,549,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,709 : 756,931 = 756,931 : x
  2. Step 2: Convert to fraction form
    369,709/756,931 = 756,931/x
  3. Step 3: Cross multiply
    369,709x = 756,931 × 756,931
  4. Step 4: Simplify right side
    369,709x = 572,944,538,761
  5. Step 5: Solve for x
    x = 572,944,538,761/369,709
  6. Step 6: Final answer
    x = 1,549,717.59

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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.