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Finding the Third Proportional to 460,076 and 698,392

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Solution

The third proportional to 460,076 and 698,392 is: 1,060,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,076 : 698,392 = 698,392 : x
  2. Step 2: Convert to fraction form
    460,076/698,392 = 698,392/x
  3. Step 3: Cross multiply
    460,076x = 698,392 × 698,392
  4. Step 4: Simplify right side
    460,076x = 487,751,385,664
  5. Step 5: Solve for x
    x = 487,751,385,664/460,076
  6. Step 6: Final answer
    x = 1,060,153.94

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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.