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Finding the Third Proportional to 321,070 and 472,295

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Solution

The third proportional to 321,070 and 472,295 is: 694,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,070 : 472,295 = 472,295 : x
  2. Step 2: Convert to fraction form
    321,070/472,295 = 472,295/x
  3. Step 3: Cross multiply
    321,070x = 472,295 × 472,295
  4. Step 4: Simplify right side
    321,070x = 223,062,567,025
  5. Step 5: Solve for x
    x = 223,062,567,025/321,070
  6. Step 6: Final answer
    x = 694,747.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.