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Finding the Third Proportional to 315,708 and 473,922

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Solution

The third proportional to 315,708 and 473,922 is: 711,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,708 : 473,922 = 473,922 : x
  2. Step 2: Convert to fraction form
    315,708/473,922 = 473,922/x
  3. Step 3: Cross multiply
    315,708x = 473,922 × 473,922
  4. Step 4: Simplify right side
    315,708x = 224,602,062,084
  5. Step 5: Solve for x
    x = 224,602,062,084/315,708
  6. Step 6: Final answer
    x = 711,423.41

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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.