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Finding the Third Proportional to 190,952 and 418,597

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Solution

The third proportional to 190,952 and 418,597 is: 917,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,952 : 418,597 = 418,597 : x
  2. Step 2: Convert to fraction form
    190,952/418,597 = 418,597/x
  3. Step 3: Cross multiply
    190,952x = 418,597 × 418,597
  4. Step 4: Simplify right side
    190,952x = 175,223,448,409
  5. Step 5: Solve for x
    x = 175,223,448,409/190,952
  6. Step 6: Final answer
    x = 917,630.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.