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Finding the Third Proportional to 444,158 and 583,143

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Solution

The third proportional to 444,158 and 583,143 is: 765,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,158 : 583,143 = 583,143 : x
  2. Step 2: Convert to fraction form
    444,158/583,143 = 583,143/x
  3. Step 3: Cross multiply
    444,158x = 583,143 × 583,143
  4. Step 4: Simplify right side
    444,158x = 340,055,758,449
  5. Step 5: Solve for x
    x = 340,055,758,449/444,158
  6. Step 6: Final answer
    x = 765,618.90

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.