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Finding the Third Proportional to 273,368 and 591,664

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Solution

The third proportional to 273,368 and 591,664 is: 1,280,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,368 : 591,664 = 591,664 : x
  2. Step 2: Convert to fraction form
    273,368/591,664 = 591,664/x
  3. Step 3: Cross multiply
    273,368x = 591,664 × 591,664
  4. Step 4: Simplify right side
    273,368x = 350,066,288,896
  5. Step 5: Solve for x
    x = 350,066,288,896/273,368
  6. Step 6: Final answer
    x = 1,280,567.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.