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Finding the Third Proportional to 234,730 and 506,868

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Solution

The third proportional to 234,730 and 506,868 is: 1,094,513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,730 : 506,868 = 506,868 : x
  2. Step 2: Convert to fraction form
    234,730/506,868 = 506,868/x
  3. Step 3: Cross multiply
    234,730x = 506,868 × 506,868
  4. Step 4: Simplify right side
    234,730x = 256,915,169,424
  5. Step 5: Solve for x
    x = 256,915,169,424/234,730
  6. Step 6: Final answer
    x = 1,094,513.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.