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Finding the Third Proportional to 388,520 and 843,454

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Solution

The third proportional to 388,520 and 843,454 is: 1,831,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,520 : 843,454 = 843,454 : x
  2. Step 2: Convert to fraction form
    388,520/843,454 = 843,454/x
  3. Step 3: Cross multiply
    388,520x = 843,454 × 843,454
  4. Step 4: Simplify right side
    388,520x = 711,414,650,116
  5. Step 5: Solve for x
    x = 711,414,650,116/388,520
  6. Step 6: Final answer
    x = 1,831,088.88

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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.