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Finding the Third Proportional to 252,834 and 583,842

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Solution

The third proportional to 252,834 and 583,842 is: 1,348,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,834 : 583,842 = 583,842 : x
  2. Step 2: Convert to fraction form
    252,834/583,842 = 583,842/x
  3. Step 3: Cross multiply
    252,834x = 583,842 × 583,842
  4. Step 4: Simplify right side
    252,834x = 340,871,480,964
  5. Step 5: Solve for x
    x = 340,871,480,964/252,834
  6. Step 6: Final answer
    x = 1,348,202.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.