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Finding the Third Proportional to 315,171 and 473,079.23

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Solution

The third proportional to 315,171 and 473,079.23 is: 710,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,171 : 473,079.23 = 473,079.23 : x
  2. Step 2: Convert to fraction form
    315,171/473,079.23 = 473,079.23/x
  3. Step 3: Cross multiply
    315,171x = 473,079.23 × 473,079.23
  4. Step 4: Simplify right side
    315,171x = 223,803,961,996.84
  5. Step 5: Solve for x
    x = 223,803,961,996.84/315,171
  6. Step 6: Final answer
    x = 710,103.28

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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.