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Finding the Third Proportional to 237,492 and 520,047

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Solution

The third proportional to 237,492 and 520,047 is: 1,138,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,492 : 520,047 = 520,047 : x
  2. Step 2: Convert to fraction form
    237,492/520,047 = 520,047/x
  3. Step 3: Cross multiply
    237,492x = 520,047 × 520,047
  4. Step 4: Simplify right side
    237,492x = 270,448,882,209
  5. Step 5: Solve for x
    x = 270,448,882,209/237,492
  6. Step 6: Final answer
    x = 1,138,770.49

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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.