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Finding the Third Proportional to 315,176 and 473,087

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Solution

The third proportional to 315,176 and 473,087 is: 710,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,176 : 473,087 = 473,087 : x
  2. Step 2: Convert to fraction form
    315,176/473,087 = 473,087/x
  3. Step 3: Cross multiply
    315,176x = 473,087 × 473,087
  4. Step 4: Simplify right side
    315,176x = 223,811,309,569
  5. Step 5: Solve for x
    x = 223,811,309,569/315,176
  6. Step 6: Final answer
    x = 710,115.33

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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.