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Finding the Third Proportional to 343,561.50 and 534,972.75

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Solution

The third proportional to 343,561.50 and 534,972.75 is: 833,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,561.50 : 534,972.75 = 534,972.75 : x
  2. Step 2: Convert to fraction form
    343,561.50/534,972.75 = 534,972.75/x
  3. Step 3: Cross multiply
    343,561.50x = 534,972.75 × 534,972.75
  4. Step 4: Simplify right side
    343,561.50x = 286,195,843,242.56
  5. Step 5: Solve for x
    x = 286,195,843,242.56/343,561.50
  6. Step 6: Final answer
    x = 833,026.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.