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Finding the Third Proportional to 252,506 and 552,532

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Solution

The third proportional to 252,506 and 552,532 is: 1,209,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,506 : 552,532 = 552,532 : x
  2. Step 2: Convert to fraction form
    252,506/552,532 = 552,532/x
  3. Step 3: Cross multiply
    252,506x = 552,532 × 552,532
  4. Step 4: Simplify right side
    252,506x = 305,291,611,024
  5. Step 5: Solve for x
    x = 305,291,611,024/252,506
  6. Step 6: Final answer
    x = 1,209,046.96

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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.