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Finding the Third Proportional to 284,690.25 and 418,468.50

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Solution

The third proportional to 284,690.25 and 418,468.50 is: 615,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,690.25 : 418,468.50 = 418,468.50 : x
  2. Step 2: Convert to fraction form
    284,690.25/418,468.50 = 418,468.50/x
  3. Step 3: Cross multiply
    284,690.25x = 418,468.50 × 418,468.50
  4. Step 4: Simplify right side
    284,690.25x = 175,115,885,492.25
  5. Step 5: Solve for x
    x = 175,115,885,492.25/284,690.25
  6. Step 6: Final answer
    x = 615,110.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.