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Finding the Third Proportional to 230,829 and 354,581

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Solution

The third proportional to 230,829 and 354,581 is: 544,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,829 : 354,581 = 354,581 : x
  2. Step 2: Convert to fraction form
    230,829/354,581 = 354,581/x
  3. Step 3: Cross multiply
    230,829x = 354,581 × 354,581
  4. Step 4: Simplify right side
    230,829x = 125,727,685,561
  5. Step 5: Solve for x
    x = 125,727,685,561/230,829
  6. Step 6: Final answer
    x = 544,678.90

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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.