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Finding the Third Proportional to 324,060 and 475,146

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Solution

The third proportional to 324,060 and 475,146 is: 696,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,060 : 475,146 = 475,146 : x
  2. Step 2: Convert to fraction form
    324,060/475,146 = 475,146/x
  3. Step 3: Cross multiply
    324,060x = 475,146 × 475,146
  4. Step 4: Simplify right side
    324,060x = 225,763,721,316
  5. Step 5: Solve for x
    x = 225,763,721,316/324,060
  6. Step 6: Final answer
    x = 696,672.60

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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.