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Finding the Third Proportional to 525,262.50 and 1,024,281

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Solution

The third proportional to 525,262.50 and 1,024,281 is: 1,997,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,262.50 : 1,024,281 = 1,024,281 : x
  2. Step 2: Convert to fraction form
    525,262.50/1,024,281 = 1,024,281/x
  3. Step 3: Cross multiply
    525,262.50x = 1,024,281 × 1,024,281
  4. Step 4: Simplify right side
    525,262.50x = 1,049,151,566,961
  5. Step 5: Solve for x
    x = 1,049,151,566,961/525,262.50
  6. Step 6: Final answer
    x = 1,997,385.24

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.