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Finding the Third Proportional to 237,830 and 508,868

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Solution

The third proportional to 237,830 and 508,868 is: 1,088,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,830 : 508,868 = 508,868 : x
  2. Step 2: Convert to fraction form
    237,830/508,868 = 508,868/x
  3. Step 3: Cross multiply
    237,830x = 508,868 × 508,868
  4. Step 4: Simplify right side
    237,830x = 258,946,641,424
  5. Step 5: Solve for x
    x = 258,946,641,424/237,830
  6. Step 6: Final answer
    x = 1,088,788.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.