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Finding the Third Proportional to 242,370 and 518,436

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Solution

The third proportional to 242,370 and 518,436 is: 1,108,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,370 : 518,436 = 518,436 : x
  2. Step 2: Convert to fraction form
    242,370/518,436 = 518,436/x
  3. Step 3: Cross multiply
    242,370x = 518,436 × 518,436
  4. Step 4: Simplify right side
    242,370x = 268,775,886,096
  5. Step 5: Solve for x
    x = 268,775,886,096/242,370
  6. Step 6: Final answer
    x = 1,108,948.66

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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.