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Finding the Third Proportional to 777.94 and 1,130.06

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Solution

The third proportional to 777.94 and 1,130.06 is: 1,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.94 : 1,130.06 = 1,130.06 : x
  2. Step 2: Convert to fraction form
    777.94/1,130.06 = 1,130.06/x
  3. Step 3: Cross multiply
    777.94x = 1,130.06 × 1,130.06
  4. Step 4: Simplify right side
    777.94x = 1,277,041.25
  5. Step 5: Solve for x
    x = 1,277,041.25/777.94
  6. Step 6: Final answer
    x = 1,641.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.