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Finding the Third Proportional to 375,529.50 and 814,765.50

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Solution

The third proportional to 375,529.50 and 814,765.50 is: 1,767,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,529.50 : 814,765.50 = 814,765.50 : x
  2. Step 2: Convert to fraction form
    375,529.50/814,765.50 = 814,765.50/x
  3. Step 3: Cross multiply
    375,529.50x = 814,765.50 × 814,765.50
  4. Step 4: Simplify right side
    375,529.50x = 663,842,819,990.25
  5. Step 5: Solve for x
    x = 663,842,819,990.25/375,529.50
  6. Step 6: Final answer
    x = 1,767,751.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.