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Finding the Third Proportional to 398,304 and 849,312

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Solution

The third proportional to 398,304 and 849,312 is: 1,811,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,304 : 849,312 = 849,312 : x
  2. Step 2: Convert to fraction form
    398,304/849,312 = 849,312/x
  3. Step 3: Cross multiply
    398,304x = 849,312 × 849,312
  4. Step 4: Simplify right side
    398,304x = 721,330,873,344
  5. Step 5: Solve for x
    x = 721,330,873,344/398,304
  6. Step 6: Final answer
    x = 1,811,005.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.