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Finding the Third Proportional to 463,752 and 696,735

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Solution

The third proportional to 463,752 and 696,735 is: 1,046,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,752 : 696,735 = 696,735 : x
  2. Step 2: Convert to fraction form
    463,752/696,735 = 696,735/x
  3. Step 3: Cross multiply
    463,752x = 696,735 × 696,735
  4. Step 4: Simplify right side
    463,752x = 485,439,660,225
  5. Step 5: Solve for x
    x = 485,439,660,225/463,752
  6. Step 6: Final answer
    x = 1,046,765.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.