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Finding the Third Proportional to 681,423 and 997,345.50

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Solution

The third proportional to 681,423 and 997,345.50 is: 1,459,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,423 : 997,345.50 = 997,345.50 : x
  2. Step 2: Convert to fraction form
    681,423/997,345.50 = 997,345.50/x
  3. Step 3: Cross multiply
    681,423x = 997,345.50 × 997,345.50
  4. Step 4: Simplify right side
    681,423x = 994,698,046,370.25
  5. Step 5: Solve for x
    x = 994,698,046,370.25/681,423
  6. Step 6: Final answer
    x = 1,459,736.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.