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Finding the Third Proportional to 465,989 and 698,263

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Solution

The third proportional to 465,989 and 698,263 is: 1,046,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,989 : 698,263 = 698,263 : x
  2. Step 2: Convert to fraction form
    465,989/698,263 = 698,263/x
  3. Step 3: Cross multiply
    465,989x = 698,263 × 698,263
  4. Step 4: Simplify right side
    465,989x = 487,571,217,169
  5. Step 5: Solve for x
    x = 487,571,217,169/465,989
  6. Step 6: Final answer
    x = 1,046,314.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.