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Finding the Third Proportional to 292,323.94 and 640,507.50

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Solution

The third proportional to 292,323.94 and 640,507.50 is: 1,403,408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,323.94 : 640,507.50 = 640,507.50 : x
  2. Step 2: Convert to fraction form
    292,323.94/640,507.50 = 640,507.50/x
  3. Step 3: Cross multiply
    292,323.94x = 640,507.50 × 640,507.50
  4. Step 4: Simplify right side
    292,323.94x = 410,249,857,556.25
  5. Step 5: Solve for x
    x = 410,249,857,556.25/292,323.94
  6. Step 6: Final answer
    x = 1,403,408.36

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