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Finding the Third Proportional to 260,084 and 562,044

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Solution

The third proportional to 260,084 and 562,044 is: 1,214,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,084 : 562,044 = 562,044 : x
  2. Step 2: Convert to fraction form
    260,084/562,044 = 562,044/x
  3. Step 3: Cross multiply
    260,084x = 562,044 × 562,044
  4. Step 4: Simplify right side
    260,084x = 315,893,457,936
  5. Step 5: Solve for x
    x = 315,893,457,936/260,084
  6. Step 6: Final answer
    x = 1,214,582.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.