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Finding the Third Proportional to 343,561.25 and 534,972.88

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Solution

The third proportional to 343,561.25 and 534,972.88 is: 833,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,561.25 : 534,972.88 = 534,972.88 : x
  2. Step 2: Convert to fraction form
    343,561.25/534,972.88 = 534,972.88/x
  3. Step 3: Cross multiply
    343,561.25x = 534,972.88 × 534,972.88
  4. Step 4: Simplify right side
    343,561.25x = 286,195,976,985.77
  5. Step 5: Solve for x
    x = 286,195,976,985.77/343,561.25
  6. Step 6: Final answer
    x = 833,027.52

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