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Finding the Third Proportional to 242,324 and 566,028

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Solution

The third proportional to 242,324 and 566,028 is: 1,322,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,324 : 566,028 = 566,028 : x
  2. Step 2: Convert to fraction form
    242,324/566,028 = 566,028/x
  3. Step 3: Cross multiply
    242,324x = 566,028 × 566,028
  4. Step 4: Simplify right side
    242,324x = 320,387,696,784
  5. Step 5: Solve for x
    x = 320,387,696,784/242,324
  6. Step 6: Final answer
    x = 1,322,145.96

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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.