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Finding the Third Proportional to 710,111.63 and 998,819.25

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Solution

The third proportional to 710,111.63 and 998,819.25 is: 1,404,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,111.63 : 998,819.25 = 998,819.25 : x
  2. Step 2: Convert to fraction form
    710,111.63/998,819.25 = 998,819.25/x
  3. Step 3: Cross multiply
    710,111.63x = 998,819.25 × 998,819.25
  4. Step 4: Simplify right side
    710,111.63x = 997,639,894,170.56
  5. Step 5: Solve for x
    x = 997,639,894,170.56/710,111.63
  6. Step 6: Final answer
    x = 1,404,905.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.