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Finding the Third Proportional to 292,334 and 437,309

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Solution

The third proportional to 292,334 and 437,309 is: 654,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,334 : 437,309 = 437,309 : x
  2. Step 2: Convert to fraction form
    292,334/437,309 = 437,309/x
  3. Step 3: Cross multiply
    292,334x = 437,309 × 437,309
  4. Step 4: Simplify right side
    292,334x = 191,239,161,481
  5. Step 5: Solve for x
    x = 191,239,161,481/292,334
  6. Step 6: Final answer
    x = 654,180.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.