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Finding the Third Proportional to 354,807 and 510,061.50

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Solution

The third proportional to 354,807 and 510,061.50 is: 733,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,807 : 510,061.50 = 510,061.50 : x
  2. Step 2: Convert to fraction form
    354,807/510,061.50 = 510,061.50/x
  3. Step 3: Cross multiply
    354,807x = 510,061.50 × 510,061.50
  4. Step 4: Simplify right side
    354,807x = 260,162,733,782.25
  5. Step 5: Solve for x
    x = 260,162,733,782.25/354,807
  6. Step 6: Final answer
    x = 733,251.41

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.