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Finding the Third Proportional to 477,203.75 and 1,029,130

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Solution

The third proportional to 477,203.75 and 1,029,130 is: 2,219,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,203.75 : 1,029,130 = 1,029,130 : x
  2. Step 2: Convert to fraction form
    477,203.75/1,029,130 = 1,029,130/x
  3. Step 3: Cross multiply
    477,203.75x = 1,029,130 × 1,029,130
  4. Step 4: Simplify right side
    477,203.75x = 1,059,108,556,900
  5. Step 5: Solve for x
    x = 1,059,108,556,900/477,203.75
  6. Step 6: Final answer
    x = 2,219,405.35

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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.