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Finding the Third Proportional to 233,931 and 506,742

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Solution

The third proportional to 233,931 and 506,742 is: 1,097,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,931 : 506,742 = 506,742 : x
  2. Step 2: Convert to fraction form
    233,931/506,742 = 506,742/x
  3. Step 3: Cross multiply
    233,931x = 506,742 × 506,742
  4. Step 4: Simplify right side
    233,931x = 256,787,454,564
  5. Step 5: Solve for x
    x = 256,787,454,564/233,931
  6. Step 6: Final answer
    x = 1,097,705.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.