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Finding the Third Proportional to 242,368 and 518,432

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Solution

The third proportional to 242,368 and 518,432 is: 1,108,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,368 : 518,432 = 518,432 : x
  2. Step 2: Convert to fraction form
    242,368/518,432 = 518,432/x
  3. Step 3: Cross multiply
    242,368x = 518,432 × 518,432
  4. Step 4: Simplify right side
    242,368x = 268,771,738,624
  5. Step 5: Solve for x
    x = 268,771,738,624/242,368
  6. Step 6: Final answer
    x = 1,108,940.70

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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.