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Finding the Third Proportional to 265,480 and 562,052

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Solution

The third proportional to 265,480 and 562,052 is: 1,189,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,480 : 562,052 = 562,052 : x
  2. Step 2: Convert to fraction form
    265,480/562,052 = 562,052/x
  3. Step 3: Cross multiply
    265,480x = 562,052 × 562,052
  4. Step 4: Simplify right side
    265,480x = 315,902,450,704
  5. Step 5: Solve for x
    x = 315,902,450,704/265,480
  6. Step 6: Final answer
    x = 1,189,929.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.