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Finding the Third Proportional to 261,012 and 569,962.50

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Solution

The third proportional to 261,012 and 569,962.50 is: 1,244,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,012 : 569,962.50 = 569,962.50 : x
  2. Step 2: Convert to fraction form
    261,012/569,962.50 = 569,962.50/x
  3. Step 3: Cross multiply
    261,012x = 569,962.50 × 569,962.50
  4. Step 4: Simplify right side
    261,012x = 324,857,251,406.25
  5. Step 5: Solve for x
    x = 324,857,251,406.25/261,012
  6. Step 6: Final answer
    x = 1,244,606.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.