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Finding the Third Proportional to 469,840.50 and 715,776.75

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Solution

The third proportional to 469,840.50 and 715,776.75 is: 1,090,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,840.50 : 715,776.75 = 715,776.75 : x
  2. Step 2: Convert to fraction form
    469,840.50/715,776.75 = 715,776.75/x
  3. Step 3: Cross multiply
    469,840.50x = 715,776.75 × 715,776.75
  4. Step 4: Simplify right side
    469,840.50x = 512,336,355,840.56
  5. Step 5: Solve for x
    x = 512,336,355,840.56/469,840.50
  6. Step 6: Final answer
    x = 1,090,447.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.