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Finding the Third Proportional to 356,224 and 749,334

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Solution

The third proportional to 356,224 and 749,334 is: 1,576,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,224 : 749,334 = 749,334 : x
  2. Step 2: Convert to fraction form
    356,224/749,334 = 749,334/x
  3. Step 3: Cross multiply
    356,224x = 749,334 × 749,334
  4. Step 4: Simplify right side
    356,224x = 561,501,443,556
  5. Step 5: Solve for x
    x = 561,501,443,556/356,224
  6. Step 6: Final answer
    x = 1,576,259.44

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.