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Finding the Third Proportional to 375,304 and 813,248

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Solution

The third proportional to 375,304 and 813,248 is: 1,762,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,304 : 813,248 = 813,248 : x
  2. Step 2: Convert to fraction form
    375,304/813,248 = 813,248/x
  3. Step 3: Cross multiply
    375,304x = 813,248 × 813,248
  4. Step 4: Simplify right side
    375,304x = 661,372,309,504
  5. Step 5: Solve for x
    x = 661,372,309,504/375,304
  6. Step 6: Final answer
    x = 1,762,230.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.