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Finding the Third Proportional to 289,314 and 444,966.50

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Solution

The third proportional to 289,314 and 444,966.50 is: 684,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,314 : 444,966.50 = 444,966.50 : x
  2. Step 2: Convert to fraction form
    289,314/444,966.50 = 444,966.50/x
  3. Step 3: Cross multiply
    289,314x = 444,966.50 × 444,966.50
  4. Step 4: Simplify right side
    289,314x = 197,995,186,122.25
  5. Step 5: Solve for x
    x = 197,995,186,122.25/289,314
  6. Step 6: Final answer
    x = 684,360.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.