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Finding the Third Proportional to 456,807.50 and 638,625.50

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Solution

The third proportional to 456,807.50 and 638,625.50 is: 892,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,807.50 : 638,625.50 = 638,625.50 : x
  2. Step 2: Convert to fraction form
    456,807.50/638,625.50 = 638,625.50/x
  3. Step 3: Cross multiply
    456,807.50x = 638,625.50 × 638,625.50
  4. Step 4: Simplify right side
    456,807.50x = 407,842,529,250.25
  5. Step 5: Solve for x
    x = 407,842,529,250.25/456,807.50
  6. Step 6: Final answer
    x = 892,810.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.