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Finding the Third Proportional to 295,888 and 418,674.50

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Solution

The third proportional to 295,888 and 418,674.50 is: 592,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,888 : 418,674.50 = 418,674.50 : x
  2. Step 2: Convert to fraction form
    295,888/418,674.50 = 418,674.50/x
  3. Step 3: Cross multiply
    295,888x = 418,674.50 × 418,674.50
  4. Step 4: Simplify right side
    295,888x = 175,288,336,950.25
  5. Step 5: Solve for x
    x = 175,288,336,950.25/295,888
  6. Step 6: Final answer
    x = 592,414.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.