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Finding the Third Proportional to 303,776 and 453,200

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Solution

The third proportional to 303,776 and 453,200 is: 676,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,776 : 453,200 = 453,200 : x
  2. Step 2: Convert to fraction form
    303,776/453,200 = 453,200/x
  3. Step 3: Cross multiply
    303,776x = 453,200 × 453,200
  4. Step 4: Simplify right side
    303,776x = 205,390,240,000
  5. Step 5: Solve for x
    x = 205,390,240,000/303,776
  6. Step 6: Final answer
    x = 676,123.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.