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Finding the Third Proportional to 300,901.50 and 655,776

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Solution

The third proportional to 300,901.50 and 655,776 is: 1,429,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,901.50 : 655,776 = 655,776 : x
  2. Step 2: Convert to fraction form
    300,901.50/655,776 = 655,776/x
  3. Step 3: Cross multiply
    300,901.50x = 655,776 × 655,776
  4. Step 4: Simplify right side
    300,901.50x = 430,042,162,176
  5. Step 5: Solve for x
    x = 430,042,162,176/300,901.50
  6. Step 6: Final answer
    x = 1,429,179.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.