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Finding the Third Proportional to 477,203.25 and 1,029,129

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Solution

The third proportional to 477,203.25 and 1,029,129 is: 2,219,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,203.25 : 1,029,129 = 1,029,129 : x
  2. Step 2: Convert to fraction form
    477,203.25/1,029,129 = 1,029,129/x
  3. Step 3: Cross multiply
    477,203.25x = 1,029,129 × 1,029,129
  4. Step 4: Simplify right side
    477,203.25x = 1,059,106,498,641
  5. Step 5: Solve for x
    x = 1,059,106,498,641/477,203.25
  6. Step 6: Final answer
    x = 2,219,403.36

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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.