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Finding the Third Proportional to 313,719 and 473,523

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Solution

The third proportional to 313,719 and 473,523 is: 714,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,719 : 473,523 = 473,523 : x
  2. Step 2: Convert to fraction form
    313,719/473,523 = 473,523/x
  3. Step 3: Cross multiply
    313,719x = 473,523 × 473,523
  4. Step 4: Simplify right side
    313,719x = 224,224,031,529
  5. Step 5: Solve for x
    x = 224,224,031,529/313,719
  6. Step 6: Final answer
    x = 714,728.89

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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.