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Finding the Third Proportional to 412,888.50 and 875,394

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Solution

The third proportional to 412,888.50 and 875,394 is: 1,855,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,888.50 : 875,394 = 875,394 : x
  2. Step 2: Convert to fraction form
    412,888.50/875,394 = 875,394/x
  3. Step 3: Cross multiply
    412,888.50x = 875,394 × 875,394
  4. Step 4: Simplify right side
    412,888.50x = 766,314,655,236
  5. Step 5: Solve for x
    x = 766,314,655,236/412,888.50
  6. Step 6: Final answer
    x = 1,855,984.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.