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Finding the Third Proportional to 473,451.75 and 715,827.38

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Solution

The third proportional to 473,451.75 and 715,827.38 is: 1,082,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,451.75 : 715,827.38 = 715,827.38 : x
  2. Step 2: Convert to fraction form
    473,451.75/715,827.38 = 715,827.38/x
  3. Step 3: Cross multiply
    473,451.75x = 715,827.38 × 715,827.38
  4. Step 4: Simplify right side
    473,451.75x = 512,408,830,799.39
  5. Step 5: Solve for x
    x = 512,408,830,799.39/473,451.75
  6. Step 6: Final answer
    x = 1,082,283.11

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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.