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Finding the Third Proportional to 463,537.50 and 717,652.50

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Solution

The third proportional to 463,537.50 and 717,652.50 is: 1,111,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,537.50 : 717,652.50 = 717,652.50 : x
  2. Step 2: Convert to fraction form
    463,537.50/717,652.50 = 717,652.50/x
  3. Step 3: Cross multiply
    463,537.50x = 717,652.50 × 717,652.50
  4. Step 4: Simplify right side
    463,537.50x = 515,025,110,756.25
  5. Step 5: Solve for x
    x = 515,025,110,756.25/463,537.50
  6. Step 6: Final answer
    x = 1,111,075.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.