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Finding the Third Proportional to 234,738 and 506,884

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Solution

The third proportional to 234,738 and 506,884 is: 1,094,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,738 : 506,884 = 506,884 : x
  2. Step 2: Convert to fraction form
    234,738/506,884 = 506,884/x
  3. Step 3: Cross multiply
    234,738x = 506,884 × 506,884
  4. Step 4: Simplify right side
    234,738x = 256,931,389,456
  5. Step 5: Solve for x
    x = 256,931,389,456/234,738
  6. Step 6: Final answer
    x = 1,094,545.36

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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.