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Finding the Third Proportional to 562,042 and 843,084

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Solution

The third proportional to 562,042 and 843,084 is: 1,264,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,042 : 843,084 = 843,084 : x
  2. Step 2: Convert to fraction form
    562,042/843,084 = 843,084/x
  3. Step 3: Cross multiply
    562,042x = 843,084 × 843,084
  4. Step 4: Simplify right side
    562,042x = 710,790,631,056
  5. Step 5: Solve for x
    x = 710,790,631,056/562,042
  6. Step 6: Final answer
    x = 1,264,657.50

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Why These Related Problems?

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