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Finding the Third Proportional to 236,807 and 507,310

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Solution

The third proportional to 236,807 and 507,310 is: 1,086,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,807 : 507,310 = 507,310 : x
  2. Step 2: Convert to fraction form
    236,807/507,310 = 507,310/x
  3. Step 3: Cross multiply
    236,807x = 507,310 × 507,310
  4. Step 4: Simplify right side
    236,807x = 257,363,436,100
  5. Step 5: Solve for x
    x = 257,363,436,100/236,807
  6. Step 6: Final answer
    x = 1,086,806.71

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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.