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Finding the Third Proportional to 295,923 and 418,723.50

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Solution

The third proportional to 295,923 and 418,723.50 is: 592,483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,923 : 418,723.50 = 418,723.50 : x
  2. Step 2: Convert to fraction form
    295,923/418,723.50 = 418,723.50/x
  3. Step 3: Cross multiply
    295,923x = 418,723.50 × 418,723.50
  4. Step 4: Simplify right side
    295,923x = 175,329,369,452.25
  5. Step 5: Solve for x
    x = 175,329,369,452.25/295,923
  6. Step 6: Final answer
    x = 592,483.08

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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.