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Finding the Third Proportional to 523,053 and 703,788.75

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Solution

The third proportional to 523,053 and 703,788.75 is: 946,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,053 : 703,788.75 = 703,788.75 : x
  2. Step 2: Convert to fraction form
    523,053/703,788.75 = 703,788.75/x
  3. Step 3: Cross multiply
    523,053x = 703,788.75 × 703,788.75
  4. Step 4: Simplify right side
    523,053x = 495,318,604,626.56
  5. Step 5: Solve for x
    x = 495,318,604,626.56/523,053
  6. Step 6: Final answer
    x = 946,975.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.