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Finding the Third Proportional to 562,548 and 843,883.50

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Solution

The third proportional to 562,548 and 843,883.50 is: 1,265,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,548 : 843,883.50 = 843,883.50 : x
  2. Step 2: Convert to fraction form
    562,548/843,883.50 = 843,883.50/x
  3. Step 3: Cross multiply
    562,548x = 843,883.50 × 843,883.50
  4. Step 4: Simplify right side
    562,548x = 712,139,361,572.25
  5. Step 5: Solve for x
    x = 712,139,361,572.25/562,548
  6. Step 6: Final answer
    x = 1,265,917.51

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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.