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Finding the Third Proportional to 237,782 and 507,640

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Solution

The third proportional to 237,782 and 507,640 is: 1,083,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,782 : 507,640 = 507,640 : x
  2. Step 2: Convert to fraction form
    237,782/507,640 = 507,640/x
  3. Step 3: Cross multiply
    237,782x = 507,640 × 507,640
  4. Step 4: Simplify right side
    237,782x = 257,698,369,600
  5. Step 5: Solve for x
    x = 257,698,369,600/237,782
  6. Step 6: Final answer
    x = 1,083,758.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.