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Finding the Third Proportional to 289,634 and 460,658

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Solution

The third proportional to 289,634 and 460,658 is: 732,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,634 : 460,658 = 460,658 : x
  2. Step 2: Convert to fraction form
    289,634/460,658 = 460,658/x
  3. Step 3: Cross multiply
    289,634x = 460,658 × 460,658
  4. Step 4: Simplify right side
    289,634x = 212,205,792,964
  5. Step 5: Solve for x
    x = 212,205,792,964/289,634
  6. Step 6: Final answer
    x = 732,668.79

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