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Finding the Third Proportional to 251,291 and 530,527

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Solution

The third proportional to 251,291 and 530,527 is: 1,120,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,291 : 530,527 = 530,527 : x
  2. Step 2: Convert to fraction form
    251,291/530,527 = 530,527/x
  3. Step 3: Cross multiply
    251,291x = 530,527 × 530,527
  4. Step 4: Simplify right side
    251,291x = 281,458,897,729
  5. Step 5: Solve for x
    x = 281,458,897,729/251,291
  6. Step 6: Final answer
    x = 1,120,051.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.