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Finding the Third Proportional to 417,282 and 650,299.50

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Solution

The third proportional to 417,282 and 650,299.50 is: 1,013,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,282 : 650,299.50 = 650,299.50 : x
  2. Step 2: Convert to fraction form
    417,282/650,299.50 = 650,299.50/x
  3. Step 3: Cross multiply
    417,282x = 650,299.50 × 650,299.50
  4. Step 4: Simplify right side
    417,282x = 422,889,439,700.25
  5. Step 5: Solve for x
    x = 422,889,439,700.25/417,282
  6. Step 6: Final answer
    x = 1,013,438.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.