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Finding the Third Proportional to 369,729 and 756,982

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Solution

The third proportional to 369,729 and 756,982 is: 1,549,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,729 : 756,982 = 756,982 : x
  2. Step 2: Convert to fraction form
    369,729/756,982 = 756,982/x
  3. Step 3: Cross multiply
    369,729x = 756,982 × 756,982
  4. Step 4: Simplify right side
    369,729x = 573,021,748,324
  5. Step 5: Solve for x
    x = 573,021,748,324/369,729
  6. Step 6: Final answer
    x = 1,549,842.58

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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.