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Finding the Third Proportional to 326,156.50 and 497,670.75

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Solution

The third proportional to 326,156.50 and 497,670.75 is: 759,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,156.50 : 497,670.75 = 497,670.75 : x
  2. Step 2: Convert to fraction form
    326,156.50/497,670.75 = 497,670.75/x
  3. Step 3: Cross multiply
    326,156.50x = 497,670.75 × 497,670.75
  4. Step 4: Simplify right side
    326,156.50x = 247,676,175,405.56
  5. Step 5: Solve for x
    x = 247,676,175,405.56/326,156.50
  6. Step 6: Final answer
    x = 759,378.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.