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Finding the Third Proportional to 254,654 and 539,664

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Solution

The third proportional to 254,654 and 539,664 is: 1,143,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,654 : 539,664 = 539,664 : x
  2. Step 2: Convert to fraction form
    254,654/539,664 = 539,664/x
  3. Step 3: Cross multiply
    254,654x = 539,664 × 539,664
  4. Step 4: Simplify right side
    254,654x = 291,237,232,896
  5. Step 5: Solve for x
    x = 291,237,232,896/254,654
  6. Step 6: Final answer
    x = 1,143,658.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.