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Finding the Third Proportional to 382,528 and 810,560

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Solution

The third proportional to 382,528 and 810,560 is: 1,717,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,528 : 810,560 = 810,560 : x
  2. Step 2: Convert to fraction form
    382,528/810,560 = 810,560/x
  3. Step 3: Cross multiply
    382,528x = 810,560 × 810,560
  4. Step 4: Simplify right side
    382,528x = 657,007,513,600
  5. Step 5: Solve for x
    x = 657,007,513,600/382,528
  6. Step 6: Final answer
    x = 1,717,540.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.