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Finding the Third Proportional to 465,236 and 698,430

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Solution

The third proportional to 465,236 and 698,430 is: 1,048,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,236 : 698,430 = 698,430 : x
  2. Step 2: Convert to fraction form
    465,236/698,430 = 698,430/x
  3. Step 3: Cross multiply
    465,236x = 698,430 × 698,430
  4. Step 4: Simplify right side
    465,236x = 487,804,464,900
  5. Step 5: Solve for x
    x = 487,804,464,900/465,236
  6. Step 6: Final answer
    x = 1,048,509.71

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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.