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Finding the Third Proportional to 562,050 and 857,081

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Solution

The third proportional to 562,050 and 857,081 is: 1,306,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,050 : 857,081 = 857,081 : x
  2. Step 2: Convert to fraction form
    562,050/857,081 = 857,081/x
  3. Step 3: Cross multiply
    562,050x = 857,081 × 857,081
  4. Step 4: Simplify right side
    562,050x = 734,587,840,561
  5. Step 5: Solve for x
    x = 734,587,840,561/562,050
  6. Step 6: Final answer
    x = 1,306,979.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.