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Finding the Third Proportional to 261,696.94 and 575,004.38

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Solution

The third proportional to 261,696.94 and 575,004.38 is: 1,263,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,696.94 : 575,004.38 = 575,004.38 : x
  2. Step 2: Convert to fraction form
    261,696.94/575,004.38 = 575,004.38/x
  3. Step 3: Cross multiply
    261,696.94x = 575,004.38 × 575,004.38
  4. Step 4: Simplify right side
    261,696.94x = 330,630,031,269.14
  5. Step 5: Solve for x
    x = 330,630,031,269.14/261,696.94
  6. Step 6: Final answer
    x = 1,263,408.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.