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Finding the Third Proportional to 252,510 and 584,619

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Solution

The third proportional to 252,510 and 584,619 is: 1,353,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,510 : 584,619 = 584,619 : x
  2. Step 2: Convert to fraction form
    252,510/584,619 = 584,619/x
  3. Step 3: Cross multiply
    252,510x = 584,619 × 584,619
  4. Step 4: Simplify right side
    252,510x = 341,779,375,161
  5. Step 5: Solve for x
    x = 341,779,375,161/252,510
  6. Step 6: Final answer
    x = 1,353,528.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.