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Finding the Third Proportional to 388,412 and 586,184

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Solution

The third proportional to 388,412 and 586,184 is: 884,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,412 : 586,184 = 586,184 : x
  2. Step 2: Convert to fraction form
    388,412/586,184 = 586,184/x
  3. Step 3: Cross multiply
    388,412x = 586,184 × 586,184
  4. Step 4: Simplify right side
    388,412x = 343,611,681,856
  5. Step 5: Solve for x
    x = 343,611,681,856/388,412
  6. Step 6: Final answer
    x = 884,657.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.