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Finding the Third Proportional to 468,306 and 669,199.50

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Solution

The third proportional to 468,306 and 669,199.50 is: 956,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,306 : 669,199.50 = 669,199.50 : x
  2. Step 2: Convert to fraction form
    468,306/669,199.50 = 669,199.50/x
  3. Step 3: Cross multiply
    468,306x = 669,199.50 × 669,199.50
  4. Step 4: Simplify right side
    468,306x = 447,827,970,800.25
  5. Step 5: Solve for x
    x = 447,827,970,800.25/468,306
  6. Step 6: Final answer
    x = 956,272.12

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.