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Finding the Third Proportional to 533,111.63 and 771,585.75

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Solution

The third proportional to 533,111.63 and 771,585.75 is: 1,116,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,111.63 : 771,585.75 = 771,585.75 : x
  2. Step 2: Convert to fraction form
    533,111.63/771,585.75 = 771,585.75/x
  3. Step 3: Cross multiply
    533,111.63x = 771,585.75 × 771,585.75
  4. Step 4: Simplify right side
    533,111.63x = 595,344,569,603.06
  5. Step 5: Solve for x
    x = 595,344,569,603.06/533,111.63
  6. Step 6: Final answer
    x = 1,116,735.30

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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.