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Finding the Third Proportional to 275,442 and 583,959

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Solution

The third proportional to 275,442 and 583,959 is: 1,238,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,442 : 583,959 = 583,959 : x
  2. Step 2: Convert to fraction form
    275,442/583,959 = 583,959/x
  3. Step 3: Cross multiply
    275,442x = 583,959 × 583,959
  4. Step 4: Simplify right side
    275,442x = 341,008,113,681
  5. Step 5: Solve for x
    x = 341,008,113,681/275,442
  6. Step 6: Final answer
    x = 1,238,039.64

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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.