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Finding the Third Proportional to 473,187 and 715,425

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Solution

The third proportional to 473,187 and 715,425 is: 1,081,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,187 : 715,425 = 715,425 : x
  2. Step 2: Convert to fraction form
    473,187/715,425 = 715,425/x
  3. Step 3: Cross multiply
    473,187x = 715,425 × 715,425
  4. Step 4: Simplify right side
    473,187x = 511,832,930,625
  5. Step 5: Solve for x
    x = 511,832,930,625/473,187
  6. Step 6: Final answer
    x = 1,081,671.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.