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Finding the Third Proportional to 321,027.75 and 497,772

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Solution

The third proportional to 321,027.75 and 497,772 is: 771,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,027.75 : 497,772 = 497,772 : x
  2. Step 2: Convert to fraction form
    321,027.75/497,772 = 497,772/x
  3. Step 3: Cross multiply
    321,027.75x = 497,772 × 497,772
  4. Step 4: Simplify right side
    321,027.75x = 247,776,963,984
  5. Step 5: Solve for x
    x = 247,776,963,984/321,027.75
  6. Step 6: Final answer
    x = 771,824.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.