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Finding the Third Proportional to 242,364 and 518,424

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Solution

The third proportional to 242,364 and 518,424 is: 1,108,924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,364 : 518,424 = 518,424 : x
  2. Step 2: Convert to fraction form
    242,364/518,424 = 518,424/x
  3. Step 3: Cross multiply
    242,364x = 518,424 × 518,424
  4. Step 4: Simplify right side
    242,364x = 268,763,443,776
  5. Step 5: Solve for x
    x = 268,763,443,776/242,364
  6. Step 6: Final answer
    x = 1,108,924.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.