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Finding the Third Proportional to 478,353.75 and 1,032,803.25

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Solution

The third proportional to 478,353.75 and 1,032,803.25 is: 2,229,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,353.75 : 1,032,803.25 = 1,032,803.25 : x
  2. Step 2: Convert to fraction form
    478,353.75/1,032,803.25 = 1,032,803.25/x
  3. Step 3: Cross multiply
    478,353.75x = 1,032,803.25 × 1,032,803.25
  4. Step 4: Simplify right side
    478,353.75x = 1,066,682,553,210.56
  5. Step 5: Solve for x
    x = 1,066,682,553,210.56/478,353.75
  6. Step 6: Final answer
    x = 2,229,903.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.