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Finding the Third Proportional to 466,296.75 and 696,569.63

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Solution

The third proportional to 466,296.75 and 696,569.63 is: 1,040,558.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,296.75 : 696,569.63 = 696,569.63 : x
  2. Step 2: Convert to fraction form
    466,296.75/696,569.63 = 696,569.63/x
  3. Step 3: Cross multiply
    466,296.75x = 696,569.63 × 696,569.63
  4. Step 4: Simplify right side
    466,296.75x = 485,209,242,472.64
  5. Step 5: Solve for x
    x = 485,209,242,472.64/466,296.75
  6. Step 6: Final answer
    x = 1,040,558.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.