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Finding the Third Proportional to 240,824 and 375,023

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Solution

The third proportional to 240,824 and 375,023 is: 584,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,824 : 375,023 = 375,023 : x
  2. Step 2: Convert to fraction form
    240,824/375,023 = 375,023/x
  3. Step 3: Cross multiply
    240,824x = 375,023 × 375,023
  4. Step 4: Simplify right side
    240,824x = 140,642,250,529
  5. Step 5: Solve for x
    x = 140,642,250,529/240,824
  6. Step 6: Final answer
    x = 584,004.30

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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.