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Finding the Third Proportional to 313,769 and 473,597

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Solution

The third proportional to 313,769 and 473,597 is: 714,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,769 : 473,597 = 473,597 : x
  2. Step 2: Convert to fraction form
    313,769/473,597 = 473,597/x
  3. Step 3: Cross multiply
    313,769x = 473,597 × 473,597
  4. Step 4: Simplify right side
    313,769x = 224,294,118,409
  5. Step 5: Solve for x
    x = 224,294,118,409/313,769
  6. Step 6: Final answer
    x = 714,838.36

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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.