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Finding the Third Proportional to 473,768 and 625,980

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Solution

The third proportional to 473,768 and 625,980 is: 827,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,768 : 625,980 = 625,980 : x
  2. Step 2: Convert to fraction form
    473,768/625,980 = 625,980/x
  3. Step 3: Cross multiply
    473,768x = 625,980 × 625,980
  4. Step 4: Simplify right side
    473,768x = 391,850,960,400
  5. Step 5: Solve for x
    x = 391,850,960,400/473,768
  6. Step 6: Final answer
    x = 827,094.61

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.