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Finding the Third Proportional to 473,174.75 and 715,408

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Solution

The third proportional to 473,174.75 and 715,408 is: 1,081,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,174.75 : 715,408 = 715,408 : x
  2. Step 2: Convert to fraction form
    473,174.75/715,408 = 715,408/x
  3. Step 3: Cross multiply
    473,174.75x = 715,408 × 715,408
  4. Step 4: Simplify right side
    473,174.75x = 511,808,606,464
  5. Step 5: Solve for x
    x = 511,808,606,464/473,174.75
  6. Step 6: Final answer
    x = 1,081,648.18

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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.