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Finding the Third Proportional to 285,718.50 and 452,034

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Solution

The third proportional to 285,718.50 and 452,034 is: 715,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,718.50 : 452,034 = 452,034 : x
  2. Step 2: Convert to fraction form
    285,718.50/452,034 = 452,034/x
  3. Step 3: Cross multiply
    285,718.50x = 452,034 × 452,034
  4. Step 4: Simplify right side
    285,718.50x = 204,334,737,156
  5. Step 5: Solve for x
    x = 204,334,737,156/285,718.50
  6. Step 6: Final answer
    x = 715,161.03

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.