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Finding the Third Proportional to 364,599 and 525,217.50

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Solution

The third proportional to 364,599 and 525,217.50 is: 756,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,599 : 525,217.50 = 525,217.50 : x
  2. Step 2: Convert to fraction form
    364,599/525,217.50 = 525,217.50/x
  3. Step 3: Cross multiply
    364,599x = 525,217.50 × 525,217.50
  4. Step 4: Simplify right side
    364,599x = 275,853,422,306.25
  5. Step 5: Solve for x
    x = 275,853,422,306.25/364,599
  6. Step 6: Final answer
    x = 756,594.02

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.