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Finding the Third Proportional to 322,483.50 and 753,051.75

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Solution

The third proportional to 322,483.50 and 753,051.75 is: 1,758,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,483.50 : 753,051.75 = 753,051.75 : x
  2. Step 2: Convert to fraction form
    322,483.50/753,051.75 = 753,051.75/x
  3. Step 3: Cross multiply
    322,483.50x = 753,051.75 × 753,051.75
  4. Step 4: Simplify right side
    322,483.50x = 567,086,938,178.06
  5. Step 5: Solve for x
    x = 567,086,938,178.06/322,483.50
  6. Step 6: Final answer
    x = 1,758,499.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.