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Finding the Third Proportional to 462,978 and 695,695.50

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Solution

The third proportional to 462,978 and 695,695.50 is: 1,045,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,978 : 695,695.50 = 695,695.50 : x
  2. Step 2: Convert to fraction form
    462,978/695,695.50 = 695,695.50/x
  3. Step 3: Cross multiply
    462,978x = 695,695.50 × 695,695.50
  4. Step 4: Simplify right side
    462,978x = 483,992,228,720.25
  5. Step 5: Solve for x
    x = 483,992,228,720.25/462,978
  6. Step 6: Final answer
    x = 1,045,389.26

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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.