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Finding the Third Proportional to 467,303.63 and 1,021,098.38

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Solution

The third proportional to 467,303.63 and 1,021,098.38 is: 2,231,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,303.63 : 1,021,098.38 = 1,021,098.38 : x
  2. Step 2: Convert to fraction form
    467,303.63/1,021,098.38 = 1,021,098.38/x
  3. Step 3: Cross multiply
    467,303.63x = 1,021,098.38 × 1,021,098.38
  4. Step 4: Simplify right side
    467,303.63x = 1,042,641,891,427.64
  5. Step 5: Solve for x
    x = 1,042,641,891,427.64/467,303.63
  6. Step 6: Final answer
    x = 2,231,187.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.