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Finding the Third Proportional to 614,599.50 and 961,998

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Solution

The third proportional to 614,599.50 and 961,998 is: 1,505,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,599.50 : 961,998 = 961,998 : x
  2. Step 2: Convert to fraction form
    614,599.50/961,998 = 961,998/x
  3. Step 3: Cross multiply
    614,599.50x = 961,998 × 961,998
  4. Step 4: Simplify right side
    614,599.50x = 925,440,152,004
  5. Step 5: Solve for x
    x = 925,440,152,004/614,599.50
  6. Step 6: Final answer
    x = 1,505,761.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.