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Finding the Third Proportional to 466,603 and 690,058

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Solution

The third proportional to 466,603 and 690,058 is: 1,020,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,603 : 690,058 = 690,058 : x
  2. Step 2: Convert to fraction form
    466,603/690,058 = 690,058/x
  3. Step 3: Cross multiply
    466,603x = 690,058 × 690,058
  4. Step 4: Simplify right side
    466,603x = 476,180,043,364
  5. Step 5: Solve for x
    x = 476,180,043,364/466,603
  6. Step 6: Final answer
    x = 1,020,525.04

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.