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Finding the Third Proportional to 560,309 and 838,483

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Solution

The third proportional to 560,309 and 838,483 is: 1,254,760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,309 : 838,483 = 838,483 : x
  2. Step 2: Convert to fraction form
    560,309/838,483 = 838,483/x
  3. Step 3: Cross multiply
    560,309x = 838,483 × 838,483
  4. Step 4: Simplify right side
    560,309x = 703,053,741,289
  5. Step 5: Solve for x
    x = 703,053,741,289/560,309
  6. Step 6: Final answer
    x = 1,254,760.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.