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Finding the Third Proportional to 330,972 and 524,322

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Solution

The third proportional to 330,972 and 524,322 is: 830,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,972 : 524,322 = 524,322 : x
  2. Step 2: Convert to fraction form
    330,972/524,322 = 524,322/x
  3. Step 3: Cross multiply
    330,972x = 524,322 × 524,322
  4. Step 4: Simplify right side
    330,972x = 274,913,559,684
  5. Step 5: Solve for x
    x = 274,913,559,684/330,972
  6. Step 6: Final answer
    x = 830,624.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.