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Finding the Third Proportional to 322,088 and 473,660

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Solution

The third proportional to 322,088 and 473,660 is: 696,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,088 : 473,660 = 473,660 : x
  2. Step 2: Convert to fraction form
    322,088/473,660 = 473,660/x
  3. Step 3: Cross multiply
    322,088x = 473,660 × 473,660
  4. Step 4: Simplify right side
    322,088x = 224,353,795,600
  5. Step 5: Solve for x
    x = 224,353,795,600/322,088
  6. Step 6: Final answer
    x = 696,560.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.