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Finding the Third Proportional to 295,974 and 418,803

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Solution

The third proportional to 295,974 and 418,803 is: 592,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,974 : 418,803 = 418,803 : x
  2. Step 2: Convert to fraction form
    295,974/418,803 = 418,803/x
  3. Step 3: Cross multiply
    295,974x = 418,803 × 418,803
  4. Step 4: Simplify right side
    295,974x = 175,395,952,809
  5. Step 5: Solve for x
    x = 175,395,952,809/295,974
  6. Step 6: Final answer
    x = 592,605.95

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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.