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Finding the Third Proportional to 252,054 and 550,332

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Solution

The third proportional to 252,054 and 550,332 is: 1,201,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,054 : 550,332 = 550,332 : x
  2. Step 2: Convert to fraction form
    252,054/550,332 = 550,332/x
  3. Step 3: Cross multiply
    252,054x = 550,332 × 550,332
  4. Step 4: Simplify right side
    252,054x = 302,865,310,224
  5. Step 5: Solve for x
    x = 302,865,310,224/252,054
  6. Step 6: Final answer
    x = 1,201,588.99

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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.