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Finding the Third Proportional to 289,005 and 460,263

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Solution

The third proportional to 289,005 and 460,263 is: 733,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,005 : 460,263 = 460,263 : x
  2. Step 2: Convert to fraction form
    289,005/460,263 = 460,263/x
  3. Step 3: Cross multiply
    289,005x = 460,263 × 460,263
  4. Step 4: Simplify right side
    289,005x = 211,842,029,169
  5. Step 5: Solve for x
    x = 211,842,029,169/289,005
  6. Step 6: Final answer
    x = 733,004.72

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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.