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Finding the Third Proportional to 473,122 and 752,423

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Solution

The third proportional to 473,122 and 752,423 is: 1,196,605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,122 : 752,423 = 752,423 : x
  2. Step 2: Convert to fraction form
    473,122/752,423 = 752,423/x
  3. Step 3: Cross multiply
    473,122x = 752,423 × 752,423
  4. Step 4: Simplify right side
    473,122x = 566,140,370,929
  5. Step 5: Solve for x
    x = 566,140,370,929/473,122
  6. Step 6: Final answer
    x = 1,196,605.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.