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Finding the Third Proportional to 562,048 and 857,078

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Solution

The third proportional to 562,048 and 857,078 is: 1,306,975.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,048 : 857,078 = 857,078 : x
  2. Step 2: Convert to fraction form
    562,048/857,078 = 857,078/x
  3. Step 3: Cross multiply
    562,048x = 857,078 × 857,078
  4. Step 4: Simplify right side
    562,048x = 734,582,698,084
  5. Step 5: Solve for x
    x = 734,582,698,084/562,048
  6. Step 6: Final answer
    x = 1,306,975.02

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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.