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Finding the Third Proportional to 214,707 and 455,334

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Solution

The third proportional to 214,707 and 455,334 is: 965,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,707 : 455,334 = 455,334 : x
  2. Step 2: Convert to fraction form
    214,707/455,334 = 455,334/x
  3. Step 3: Cross multiply
    214,707x = 455,334 × 455,334
  4. Step 4: Simplify right side
    214,707x = 207,329,051,556
  5. Step 5: Solve for x
    x = 207,329,051,556/214,707
  6. Step 6: Final answer
    x = 965,637.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.