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Finding the Third Proportional to 464,575.50 and 1,028,643.05

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Solution

The third proportional to 464,575.50 and 1,028,643.05 is: 2,277,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,575.50 : 1,028,643.05 = 1,028,643.05 : x
  2. Step 2: Convert to fraction form
    464,575.50/1,028,643.05 = 1,028,643.05/x
  3. Step 3: Cross multiply
    464,575.50x = 1,028,643.05 × 1,028,643.05
  4. Step 4: Simplify right side
    464,575.50x = 1,058,106,517,884.28
  5. Step 5: Solve for x
    x = 1,058,106,517,884.28/464,575.50
  6. Step 6: Final answer
    x = 2,277,577.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.