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Finding the Third Proportional to 322,221,253.50 and 477,290,286

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Solution

The third proportional to 322,221,253.50 and 477,290,286 is: 706,986,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,221,253.50 : 477,290,286 = 477,290,286 : x
  2. Step 2: Convert to fraction form
    322,221,253.50/477,290,286 = 477,290,286/x
  3. Step 3: Cross multiply
    322,221,253.50x = 477,290,286 × 477,290,286
  4. Step 4: Simplify right side
    322,221,253.50x = 227,806,017,109,961,792
  5. Step 5: Solve for x
    x = 227,806,017,109,961,792/322,221,253.50
  6. Step 6: Final answer
    x = 706,986,316.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.