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Finding the Third Proportional to 307,888 and 460,596

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Solution

The third proportional to 307,888 and 460,596 is: 689,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,888 : 460,596 = 460,596 : x
  2. Step 2: Convert to fraction form
    307,888/460,596 = 460,596/x
  3. Step 3: Cross multiply
    307,888x = 460,596 × 460,596
  4. Step 4: Simplify right side
    307,888x = 212,148,675,216
  5. Step 5: Solve for x
    x = 212,148,675,216/307,888
  6. Step 6: Final answer
    x = 689,044.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.