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Finding the Third Proportional to 315,204 and 473,130

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Solution

The third proportional to 315,204 and 473,130 is: 710,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,204 : 473,130 = 473,130 : x
  2. Step 2: Convert to fraction form
    315,204/473,130 = 473,130/x
  3. Step 3: Cross multiply
    315,204x = 473,130 × 473,130
  4. Step 4: Simplify right side
    315,204x = 223,851,996,900
  5. Step 5: Solve for x
    x = 223,851,996,900/315,204
  6. Step 6: Final answer
    x = 710,181.33

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