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Finding the Third Proportional to 346,284 and 518,048

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Solution

The third proportional to 346,284 and 518,048 is: 775,010.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,284 : 518,048 = 518,048 : x
  2. Step 2: Convert to fraction form
    346,284/518,048 = 518,048/x
  3. Step 3: Cross multiply
    346,284x = 518,048 × 518,048
  4. Step 4: Simplify right side
    346,284x = 268,373,730,304
  5. Step 5: Solve for x
    x = 268,373,730,304/346,284
  6. Step 6: Final answer
    x = 775,010.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.