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Finding the Third Proportional to 289,005.75 and 460,263.38

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Solution

The third proportional to 289,005.75 and 460,263.38 is: 733,004.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,005.75 : 460,263.38 = 460,263.38 : x
  2. Step 2: Convert to fraction form
    289,005.75/460,263.38 = 460,263.38/x
  3. Step 3: Cross multiply
    289,005.75x = 460,263.38 × 460,263.38
  4. Step 4: Simplify right side
    289,005.75x = 211,842,374,366.39
  5. Step 5: Solve for x
    x = 211,842,374,366.39/289,005.75
  6. Step 6: Final answer
    x = 733,004.01

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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.