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Finding the Third Proportional to 770,263.50 and 1,662,320.25

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Solution

The third proportional to 770,263.50 and 1,662,320.25 is: 3,587,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,263.50 : 1,662,320.25 = 1,662,320.25 : x
  2. Step 2: Convert to fraction form
    770,263.50/1,662,320.25 = 1,662,320.25/x
  3. Step 3: Cross multiply
    770,263.50x = 1,662,320.25 × 1,662,320.25
  4. Step 4: Simplify right side
    770,263.50x = 2,763,308,613,560.06
  5. Step 5: Solve for x
    x = 2,763,308,613,560.06/770,263.50
  6. Step 6: Final answer
    x = 3,587,484.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.