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Finding the Third Proportional to 469,317.50 and 727,034.50

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Solution

The third proportional to 469,317.50 and 727,034.50 is: 1,126,272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,317.50 : 727,034.50 = 727,034.50 : x
  2. Step 2: Convert to fraction form
    469,317.50/727,034.50 = 727,034.50/x
  3. Step 3: Cross multiply
    469,317.50x = 727,034.50 × 727,034.50
  4. Step 4: Simplify right side
    469,317.50x = 528,579,164,190.25
  5. Step 5: Solve for x
    x = 528,579,164,190.25/469,317.50
  6. Step 6: Final answer
    x = 1,126,272.01

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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.