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Finding the Third Proportional to 242,396 and 520,774

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Solution

The third proportional to 242,396 and 520,774 is: 1,118,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,396 : 520,774 = 520,774 : x
  2. Step 2: Convert to fraction form
    242,396/520,774 = 520,774/x
  3. Step 3: Cross multiply
    242,396x = 520,774 × 520,774
  4. Step 4: Simplify right side
    242,396x = 271,205,559,076
  5. Step 5: Solve for x
    x = 271,205,559,076/242,396
  6. Step 6: Final answer
    x = 1,118,853.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.