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Finding the Third Proportional to 473,394 and 665,859

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Solution

The third proportional to 473,394 and 665,859 is: 936,573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,394 : 665,859 = 665,859 : x
  2. Step 2: Convert to fraction form
    473,394/665,859 = 665,859/x
  3. Step 3: Cross multiply
    473,394x = 665,859 × 665,859
  4. Step 4: Simplify right side
    473,394x = 443,368,207,881
  5. Step 5: Solve for x
    x = 443,368,207,881/473,394
  6. Step 6: Final answer
    x = 936,573.36

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.