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Finding the Third Proportional to 241,428 and 375,946

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Solution

The third proportional to 241,428 and 375,946 is: 585,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,428 : 375,946 = 375,946 : x
  2. Step 2: Convert to fraction form
    241,428/375,946 = 375,946/x
  3. Step 3: Cross multiply
    241,428x = 375,946 × 375,946
  4. Step 4: Simplify right side
    241,428x = 141,335,394,916
  5. Step 5: Solve for x
    x = 141,335,394,916/241,428
  6. Step 6: Final answer
    x = 585,414.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.