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Finding the Third Proportional to 388,964 and 568,542

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Solution

The third proportional to 388,964 and 568,542 is: 831,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,964 : 568,542 = 568,542 : x
  2. Step 2: Convert to fraction form
    388,964/568,542 = 568,542/x
  3. Step 3: Cross multiply
    388,964x = 568,542 × 568,542
  4. Step 4: Simplify right side
    388,964x = 323,240,005,764
  5. Step 5: Solve for x
    x = 323,240,005,764/388,964
  6. Step 6: Final answer
    x = 831,028.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.