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Finding the Third Proportional to 269,664 and 586,752

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Solution

The third proportional to 269,664 and 586,752 is: 1,276,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,664 : 586,752 = 586,752 : x
  2. Step 2: Convert to fraction form
    269,664/586,752 = 586,752/x
  3. Step 3: Cross multiply
    269,664x = 586,752 × 586,752
  4. Step 4: Simplify right side
    269,664x = 344,277,909,504
  5. Step 5: Solve for x
    x = 344,277,909,504/269,664
  6. Step 6: Final answer
    x = 1,276,692.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.