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Finding the Third Proportional to 307,016 and 473,649

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Solution

The third proportional to 307,016 and 473,649 is: 730,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,016 : 473,649 = 473,649 : x
  2. Step 2: Convert to fraction form
    307,016/473,649 = 473,649/x
  3. Step 3: Cross multiply
    307,016x = 473,649 × 473,649
  4. Step 4: Simplify right side
    307,016x = 224,343,375,201
  5. Step 5: Solve for x
    x = 224,343,375,201/307,016
  6. Step 6: Final answer
    x = 730,722.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.