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Finding the Third Proportional to 208,762 and 465,334

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Solution

The third proportional to 208,762 and 465,334 is: 1,037,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,762 : 465,334 = 465,334 : x
  2. Step 2: Convert to fraction form
    208,762/465,334 = 465,334/x
  3. Step 3: Cross multiply
    208,762x = 465,334 × 465,334
  4. Step 4: Simplify right side
    208,762x = 216,535,731,556
  5. Step 5: Solve for x
    x = 216,535,731,556/208,762
  6. Step 6: Final answer
    x = 1,037,237.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.