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Finding the Third Proportional to 236,805 and 507,306

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Solution

The third proportional to 236,805 and 507,306 is: 1,086,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,805 : 507,306 = 507,306 : x
  2. Step 2: Convert to fraction form
    236,805/507,306 = 507,306/x
  3. Step 3: Cross multiply
    236,805x = 507,306 × 507,306
  4. Step 4: Simplify right side
    236,805x = 257,359,377,636
  5. Step 5: Solve for x
    x = 257,359,377,636/236,805
  6. Step 6: Final answer
    x = 1,086,798.75

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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.