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Finding the Third Proportional to 242,304 and 565,980

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Solution

The third proportional to 242,304 and 565,980 is: 1,322,030.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,304 : 565,980 = 565,980 : x
  2. Step 2: Convert to fraction form
    242,304/565,980 = 565,980/x
  3. Step 3: Cross multiply
    242,304x = 565,980 × 565,980
  4. Step 4: Simplify right side
    242,304x = 320,333,360,400
  5. Step 5: Solve for x
    x = 320,333,360,400/242,304
  6. Step 6: Final answer
    x = 1,322,030.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.