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Finding the Third Proportional to 354,314 and 755,929.50

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Solution

The third proportional to 354,314 and 755,929.50 is: 1,612,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,314 : 755,929.50 = 755,929.50 : x
  2. Step 2: Convert to fraction form
    354,314/755,929.50 = 755,929.50/x
  3. Step 3: Cross multiply
    354,314x = 755,929.50 × 755,929.50
  4. Step 4: Simplify right side
    354,314x = 571,429,408,970.25
  5. Step 5: Solve for x
    x = 571,429,408,970.25/354,314
  6. Step 6: Final answer
    x = 1,612,776.83

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.