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Finding the Third Proportional to 252,904 and 550,428

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Solution

The third proportional to 252,904 and 550,428 is: 1,197,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,904 : 550,428 = 550,428 : x
  2. Step 2: Convert to fraction form
    252,904/550,428 = 550,428/x
  3. Step 3: Cross multiply
    252,904x = 550,428 × 550,428
  4. Step 4: Simplify right side
    252,904x = 302,970,983,184
  5. Step 5: Solve for x
    x = 302,970,983,184/252,904
  6. Step 6: Final answer
    x = 1,197,968.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.