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Finding the Third Proportional to 367,498 and 758,612

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Solution

The third proportional to 367,498 and 758,612 is: 1,565,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,498 : 758,612 = 758,612 : x
  2. Step 2: Convert to fraction form
    367,498/758,612 = 758,612/x
  3. Step 3: Cross multiply
    367,498x = 758,612 × 758,612
  4. Step 4: Simplify right side
    367,498x = 575,492,166,544
  5. Step 5: Solve for x
    x = 575,492,166,544/367,498
  6. Step 6: Final answer
    x = 1,565,973.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.