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Finding the Third Proportional to 463,140 and 695,832

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Solution

The third proportional to 463,140 and 695,832 is: 1,045,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,140 : 695,832 = 695,832 : x
  2. Step 2: Convert to fraction form
    463,140/695,832 = 695,832/x
  3. Step 3: Cross multiply
    463,140x = 695,832 × 695,832
  4. Step 4: Simplify right side
    463,140x = 484,182,172,224
  5. Step 5: Solve for x
    x = 484,182,172,224/463,140
  6. Step 6: Final answer
    x = 1,045,433.72

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