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Finding the Third Proportional to 315,192 and 473,112

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Solution

The third proportional to 315,192 and 473,112 is: 710,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,192 : 473,112 = 473,112 : x
  2. Step 2: Convert to fraction form
    315,192/473,112 = 473,112/x
  3. Step 3: Cross multiply
    315,192x = 473,112 × 473,112
  4. Step 4: Simplify right side
    315,192x = 223,834,964,544
  5. Step 5: Solve for x
    x = 223,834,964,544/315,192
  6. Step 6: Final answer
    x = 710,154.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.