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Finding the Third Proportional to 241,253.10 and 522,224.20

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Solution

The third proportional to 241,253.10 and 522,224.20 is: 1,130,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,253.10 : 522,224.20 = 522,224.20 : x
  2. Step 2: Convert to fraction form
    241,253.10/522,224.20 = 522,224.20/x
  3. Step 3: Cross multiply
    241,253.10x = 522,224.20 × 522,224.20
  4. Step 4: Simplify right side
    241,253.10x = 272,718,119,859.51
  5. Step 5: Solve for x
    x = 272,718,119,859.51/241,253.10
  6. Step 6: Final answer
    x = 1,130,423.26

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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.