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Finding the Third Proportional to 313,565.34 and 473,287.22

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Solution

The third proportional to 313,565.34 and 473,287.22 is: 714,367.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,565.34 : 473,287.22 = 473,287.22 : x
  2. Step 2: Convert to fraction form
    313,565.34/473,287.22 = 473,287.22/x
  3. Step 3: Cross multiply
    313,565.34x = 473,287.22 × 473,287.22
  4. Step 4: Simplify right side
    313,565.34x = 224,000,791,432.11
  5. Step 5: Solve for x
    x = 224,000,791,432.11/313,565.34
  6. Step 6: Final answer
    x = 714,367.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.