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Finding the Third Proportional to 505,584 and 761,580

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Solution

The third proportional to 505,584 and 761,580 is: 1,147,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,584 : 761,580 = 761,580 : x
  2. Step 2: Convert to fraction form
    505,584/761,580 = 761,580/x
  3. Step 3: Cross multiply
    505,584x = 761,580 × 761,580
  4. Step 4: Simplify right side
    505,584x = 580,004,096,400
  5. Step 5: Solve for x
    x = 580,004,096,400/505,584
  6. Step 6: Final answer
    x = 1,147,196.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.