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Finding the Third Proportional to 289,848.75 and 459,964.13

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Solution

The third proportional to 289,848.75 and 459,964.13 is: 729,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,848.75 : 459,964.13 = 459,964.13 : x
  2. Step 2: Convert to fraction form
    289,848.75/459,964.13 = 459,964.13/x
  3. Step 3: Cross multiply
    289,848.75x = 459,964.13 × 459,964.13
  4. Step 4: Simplify right side
    289,848.75x = 211,566,996,287.02
  5. Step 5: Solve for x
    x = 211,566,996,287.02/289,848.75
  6. Step 6: Final answer
    x = 729,922.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.