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Finding the Third Proportional to 306,942 and 473,535

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Solution

The third proportional to 306,942 and 473,535 is: 730,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,942 : 473,535 = 473,535 : x
  2. Step 2: Convert to fraction form
    306,942/473,535 = 473,535/x
  3. Step 3: Cross multiply
    306,942x = 473,535 × 473,535
  4. Step 4: Simplify right side
    306,942x = 224,235,396,225
  5. Step 5: Solve for x
    x = 224,235,396,225/306,942
  6. Step 6: Final answer
    x = 730,546.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.