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Finding the Third Proportional to 456,318.50 and 709,367.50

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Solution

The third proportional to 456,318.50 and 709,367.50 is: 1,102,743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,318.50 : 709,367.50 = 709,367.50 : x
  2. Step 2: Convert to fraction form
    456,318.50/709,367.50 = 709,367.50/x
  3. Step 3: Cross multiply
    456,318.50x = 709,367.50 × 709,367.50
  4. Step 4: Simplify right side
    456,318.50x = 503,202,250,056.25
  5. Step 5: Solve for x
    x = 503,202,250,056.25/456,318.50
  6. Step 6: Final answer
    x = 1,102,743.48

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Why These Related Problems?

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