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Finding the Third Proportional to 293,340.50 and 618,207

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Solution

The third proportional to 293,340.50 and 618,207 is: 1,302,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,340.50 : 618,207 = 618,207 : x
  2. Step 2: Convert to fraction form
    293,340.50/618,207 = 618,207/x
  3. Step 3: Cross multiply
    293,340.50x = 618,207 × 618,207
  4. Step 4: Simplify right side
    293,340.50x = 382,179,894,849
  5. Step 5: Solve for x
    x = 382,179,894,849/293,340.50
  6. Step 6: Final answer
    x = 1,302,854.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.