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Finding the Third Proportional to 356,318 and 784,060

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Solution

The third proportional to 356,318 and 784,060 is: 1,725,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,318 : 784,060 = 784,060 : x
  2. Step 2: Convert to fraction form
    356,318/784,060 = 784,060/x
  3. Step 3: Cross multiply
    356,318x = 784,060 × 784,060
  4. Step 4: Simplify right side
    356,318x = 614,750,083,600
  5. Step 5: Solve for x
    x = 614,750,083,600/356,318
  6. Step 6: Final answer
    x = 1,725,284.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.