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Finding the Third Proportional to 365,202 and 784,134

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Solution

The third proportional to 365,202 and 784,134 is: 1,683,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,202 : 784,134 = 784,134 : x
  2. Step 2: Convert to fraction form
    365,202/784,134 = 784,134/x
  3. Step 3: Cross multiply
    365,202x = 784,134 × 784,134
  4. Step 4: Simplify right side
    365,202x = 614,866,129,956
  5. Step 5: Solve for x
    x = 614,866,129,956/365,202
  6. Step 6: Final answer
    x = 1,683,632.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.