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Finding the Third Proportional to 484,412 and 756,052

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Solution

The third proportional to 484,412 and 756,052 is: 1,180,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,412 : 756,052 = 756,052 : x
  2. Step 2: Convert to fraction form
    484,412/756,052 = 756,052/x
  3. Step 3: Cross multiply
    484,412x = 756,052 × 756,052
  4. Step 4: Simplify right side
    484,412x = 571,614,626,704
  5. Step 5: Solve for x
    x = 571,614,626,704/484,412
  6. Step 6: Final answer
    x = 1,180,017.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.