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Finding the Third Proportional to 460,064 and 698,373

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Solution

The third proportional to 460,064 and 698,373 is: 1,060,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,064 : 698,373 = 698,373 : x
  2. Step 2: Convert to fraction form
    460,064/698,373 = 698,373/x
  3. Step 3: Cross multiply
    460,064x = 698,373 × 698,373
  4. Step 4: Simplify right side
    460,064x = 487,724,847,129
  5. Step 5: Solve for x
    x = 487,724,847,129/460,064
  6. Step 6: Final answer
    x = 1,060,123.91

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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.