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Finding the Third Proportional to 241,655 and 523,072

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Solution

The third proportional to 241,655 and 523,072 is: 1,132,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,655 : 523,072 = 523,072 : x
  2. Step 2: Convert to fraction form
    241,655/523,072 = 523,072/x
  3. Step 3: Cross multiply
    241,655x = 523,072 × 523,072
  4. Step 4: Simplify right side
    241,655x = 273,604,317,184
  5. Step 5: Solve for x
    x = 273,604,317,184/241,655
  6. Step 6: Final answer
    x = 1,132,210.45

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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.