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Finding the Third Proportional to 460,066 and 698,376

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Solution

The third proportional to 460,066 and 698,376 is: 1,060,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,066 : 698,376 = 698,376 : x
  2. Step 2: Convert to fraction form
    460,066/698,376 = 698,376/x
  3. Step 3: Cross multiply
    460,066x = 698,376 × 698,376
  4. Step 4: Simplify right side
    460,066x = 487,729,037,376
  5. Step 5: Solve for x
    x = 487,729,037,376/460,066
  6. Step 6: Final answer
    x = 1,060,128.41

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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.