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Finding the Third Proportional to 562,012.50 and 843,034.50

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Solution

The third proportional to 562,012.50 and 843,034.50 is: 1,264,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,012.50 : 843,034.50 = 843,034.50 : x
  2. Step 2: Convert to fraction form
    562,012.50/843,034.50 = 843,034.50/x
  3. Step 3: Cross multiply
    562,012.50x = 843,034.50 × 843,034.50
  4. Step 4: Simplify right side
    562,012.50x = 710,707,168,190.25
  5. Step 5: Solve for x
    x = 710,707,168,190.25/562,012.50
  6. Step 6: Final answer
    x = 1,264,575.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.