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Finding the Third Proportional to 290,434.50 and 418,306.75

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Solution

The third proportional to 290,434.50 and 418,306.75 is: 602,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,434.50 : 418,306.75 = 418,306.75 : x
  2. Step 2: Convert to fraction form
    290,434.50/418,306.75 = 418,306.75/x
  3. Step 3: Cross multiply
    290,434.50x = 418,306.75 × 418,306.75
  4. Step 4: Simplify right side
    290,434.50x = 174,980,537,095.56
  5. Step 5: Solve for x
    x = 174,980,537,095.56/290,434.50
  6. Step 6: Final answer
    x = 602,478.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.