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Finding the Third Proportional to 526,353 and 752,707.50

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Solution

The third proportional to 526,353 and 752,707.50 is: 1,076,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,353 : 752,707.50 = 752,707.50 : x
  2. Step 2: Convert to fraction form
    526,353/752,707.50 = 752,707.50/x
  3. Step 3: Cross multiply
    526,353x = 752,707.50 × 752,707.50
  4. Step 4: Simplify right side
    526,353x = 566,568,580,556.25
  5. Step 5: Solve for x
    x = 566,568,580,556.25/526,353
  6. Step 6: Final answer
    x = 1,076,404.20

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.