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Finding the Third Proportional to 460,059 and 698,367

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Solution

The third proportional to 460,059 and 698,367 is: 1,060,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,059 : 698,367 = 698,367 : x
  2. Step 2: Convert to fraction form
    460,059/698,367 = 698,367/x
  3. Step 3: Cross multiply
    460,059x = 698,367 × 698,367
  4. Step 4: Simplify right side
    460,059x = 487,716,466,689
  5. Step 5: Solve for x
    x = 487,716,466,689/460,059
  6. Step 6: Final answer
    x = 1,060,117.22

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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.