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Finding the Third Proportional to 288,240 and 458,022

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Solution

The third proportional to 288,240 and 458,022 is: 727,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,240 : 458,022 = 458,022 : x
  2. Step 2: Convert to fraction form
    288,240/458,022 = 458,022/x
  3. Step 3: Cross multiply
    288,240x = 458,022 × 458,022
  4. Step 4: Simplify right side
    288,240x = 209,784,152,484
  5. Step 5: Solve for x
    x = 209,784,152,484/288,240
  6. Step 6: Final answer
    x = 727,810.69

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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.