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Finding the Third Proportional to 252,681.75 and 552,838.50

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Solution

The third proportional to 252,681.75 and 552,838.50 is: 1,209,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,681.75 : 552,838.50 = 552,838.50 : x
  2. Step 2: Convert to fraction form
    252,681.75/552,838.50 = 552,838.50/x
  3. Step 3: Cross multiply
    252,681.75x = 552,838.50 × 552,838.50
  4. Step 4: Simplify right side
    252,681.75x = 305,630,407,082.25
  5. Step 5: Solve for x
    x = 305,630,407,082.25/252,681.75
  6. Step 6: Final answer
    x = 1,209,546.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.