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Finding the Third Proportional to 284,410.50 and 608,187

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Solution

The third proportional to 284,410.50 and 608,187 is: 1,300,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,410.50 : 608,187 = 608,187 : x
  2. Step 2: Convert to fraction form
    284,410.50/608,187 = 608,187/x
  3. Step 3: Cross multiply
    284,410.50x = 608,187 × 608,187
  4. Step 4: Simplify right side
    284,410.50x = 369,891,426,969
  5. Step 5: Solve for x
    x = 369,891,426,969/284,410.50
  6. Step 6: Final answer
    x = 1,300,554.75

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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.