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Finding the Third Proportional to 760,738.50 and 1,177,321.50

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Solution

The third proportional to 760,738.50 and 1,177,321.50 is: 1,822,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,738.50 : 1,177,321.50 = 1,177,321.50 : x
  2. Step 2: Convert to fraction form
    760,738.50/1,177,321.50 = 1,177,321.50/x
  3. Step 3: Cross multiply
    760,738.50x = 1,177,321.50 × 1,177,321.50
  4. Step 4: Simplify right side
    760,738.50x = 1,386,085,914,362.25
  5. Step 5: Solve for x
    x = 1,386,085,914,362.25/760,738.50
  6. Step 6: Final answer
    x = 1,822,026.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.