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Finding the Third Proportional to 357,306 and 784,602

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Solution

The third proportional to 357,306 and 784,602 is: 1,722,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,306 : 784,602 = 784,602 : x
  2. Step 2: Convert to fraction form
    357,306/784,602 = 784,602/x
  3. Step 3: Cross multiply
    357,306x = 784,602 × 784,602
  4. Step 4: Simplify right side
    357,306x = 615,600,298,404
  5. Step 5: Solve for x
    x = 615,600,298,404/357,306
  6. Step 6: Final answer
    x = 1,722,893.82

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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.