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Finding the Third Proportional to 774,077.50 and 1,138,355

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Solution

The third proportional to 774,077.50 and 1,138,355 is: 1,674,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,077.50 : 1,138,355 = 1,138,355 : x
  2. Step 2: Convert to fraction form
    774,077.50/1,138,355 = 1,138,355/x
  3. Step 3: Cross multiply
    774,077.50x = 1,138,355 × 1,138,355
  4. Step 4: Simplify right side
    774,077.50x = 1,295,852,106,025
  5. Step 5: Solve for x
    x = 1,295,852,106,025/774,077.50
  6. Step 6: Final answer
    x = 1,674,059.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.