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Finding the Third Proportional to 362,952 and 544,788

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Solution

The third proportional to 362,952 and 544,788 is: 817,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,952 : 544,788 = 544,788 : x
  2. Step 2: Convert to fraction form
    362,952/544,788 = 544,788/x
  3. Step 3: Cross multiply
    362,952x = 544,788 × 544,788
  4. Step 4: Simplify right side
    362,952x = 296,793,964,944
  5. Step 5: Solve for x
    x = 296,793,964,944/362,952
  6. Step 6: Final answer
    x = 817,722.36

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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.