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Finding the Third Proportional to 252,510 and 552,527

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Solution

The third proportional to 252,510 and 552,527 is: 1,209,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,510 : 552,527 = 552,527 : x
  2. Step 2: Convert to fraction form
    252,510/552,527 = 552,527/x
  3. Step 3: Cross multiply
    252,510x = 552,527 × 552,527
  4. Step 4: Simplify right side
    252,510x = 305,286,085,729
  5. Step 5: Solve for x
    x = 305,286,085,729/252,510
  6. Step 6: Final answer
    x = 1,209,005.92

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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.