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Finding the Third Proportional to 555,584 and 845,360

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Solution

The third proportional to 555,584 and 845,360 is: 1,286,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,584 : 845,360 = 845,360 : x
  2. Step 2: Convert to fraction form
    555,584/845,360 = 845,360/x
  3. Step 3: Cross multiply
    555,584x = 845,360 × 845,360
  4. Step 4: Simplify right side
    555,584x = 714,633,529,600
  5. Step 5: Solve for x
    x = 714,633,529,600/555,584
  6. Step 6: Final answer
    x = 1,286,274.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.