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Finding the Third Proportional to 544,932 and 817,580

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Solution

The third proportional to 544,932 and 817,580 is: 1,226,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,932 : 817,580 = 817,580 : x
  2. Step 2: Convert to fraction form
    544,932/817,580 = 817,580/x
  3. Step 3: Cross multiply
    544,932x = 817,580 × 817,580
  4. Step 4: Simplify right side
    544,932x = 668,437,056,400
  5. Step 5: Solve for x
    x = 668,437,056,400/544,932
  6. Step 6: Final answer
    x = 1,226,643.06

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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.