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Finding the Third Proportional to 428,584 and 933,360

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Solution

The third proportional to 428,584 and 933,360 is: 2,032,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,584 : 933,360 = 933,360 : x
  2. Step 2: Convert to fraction form
    428,584/933,360 = 933,360/x
  3. Step 3: Cross multiply
    428,584x = 933,360 × 933,360
  4. Step 4: Simplify right side
    428,584x = 871,160,889,600
  5. Step 5: Solve for x
    x = 871,160,889,600/428,584
  6. Step 6: Final answer
    x = 2,032,649.12

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Why These Related Problems?

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