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Finding the Third Proportional to 680,748 and 903,019.50

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Solution

The third proportional to 680,748 and 903,019.50 is: 1,197,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,748 : 903,019.50 = 903,019.50 : x
  2. Step 2: Convert to fraction form
    680,748/903,019.50 = 903,019.50/x
  3. Step 3: Cross multiply
    680,748x = 903,019.50 × 903,019.50
  4. Step 4: Simplify right side
    680,748x = 815,444,217,380.25
  5. Step 5: Solve for x
    x = 815,444,217,380.25/680,748
  6. Step 6: Final answer
    x = 1,197,865.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.