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Finding the Third Proportional to 303,407 and 665,132.50

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Solution

The third proportional to 303,407 and 665,132.50 is: 1,458,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,407 : 665,132.50 = 665,132.50 : x
  2. Step 2: Convert to fraction form
    303,407/665,132.50 = 665,132.50/x
  3. Step 3: Cross multiply
    303,407x = 665,132.50 × 665,132.50
  4. Step 4: Simplify right side
    303,407x = 442,401,242,556.25
  5. Step 5: Solve for x
    x = 442,401,242,556.25/303,407
  6. Step 6: Final answer
    x = 1,458,111.52

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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.