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Finding the Third Proportional to 241,470 and 524,457

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Solution

The third proportional to 241,470 and 524,457 is: 1,139,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,470 : 524,457 = 524,457 : x
  2. Step 2: Convert to fraction form
    241,470/524,457 = 524,457/x
  3. Step 3: Cross multiply
    241,470x = 524,457 × 524,457
  4. Step 4: Simplify right side
    241,470x = 275,055,144,849
  5. Step 5: Solve for x
    x = 275,055,144,849/241,470
  6. Step 6: Final answer
    x = 1,139,086.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.