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Finding the Third Proportional to 307,029 and 465,314

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Solution

The third proportional to 307,029 and 465,314 is: 705,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,029 : 465,314 = 465,314 : x
  2. Step 2: Convert to fraction form
    307,029/465,314 = 465,314/x
  3. Step 3: Cross multiply
    307,029x = 465,314 × 465,314
  4. Step 4: Simplify right side
    307,029x = 216,517,118,596
  5. Step 5: Solve for x
    x = 216,517,118,596/307,029
  6. Step 6: Final answer
    x = 705,200.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.