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Finding the Third Proportional to 329,911.50 and 706,479

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Solution

The third proportional to 329,911.50 and 706,479 is: 1,512,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,911.50 : 706,479 = 706,479 : x
  2. Step 2: Convert to fraction form
    329,911.50/706,479 = 706,479/x
  3. Step 3: Cross multiply
    329,911.50x = 706,479 × 706,479
  4. Step 4: Simplify right side
    329,911.50x = 499,112,577,441
  5. Step 5: Solve for x
    x = 499,112,577,441/329,911.50
  6. Step 6: Final answer
    x = 1,512,868.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.