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Finding the Third Proportional to 284,301 and 618,424.88

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Solution

The third proportional to 284,301 and 618,424.88 is: 1,345,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,301 : 618,424.88 = 618,424.88 : x
  2. Step 2: Convert to fraction form
    284,301/618,424.88 = 618,424.88/x
  3. Step 3: Cross multiply
    284,301x = 618,424.88 × 618,424.88
  4. Step 4: Simplify right side
    284,301x = 382,449,326,018.77
  5. Step 5: Solve for x
    x = 382,449,326,018.77/284,301
  6. Step 6: Final answer
    x = 1,345,226.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.