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Finding the Third Proportional to 576,163.50 and 829,927.50

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Solution

The third proportional to 576,163.50 and 829,927.50 is: 1,195,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,163.50 : 829,927.50 = 829,927.50 : x
  2. Step 2: Convert to fraction form
    576,163.50/829,927.50 = 829,927.50/x
  3. Step 3: Cross multiply
    576,163.50x = 829,927.50 × 829,927.50
  4. Step 4: Simplify right side
    576,163.50x = 688,779,655,256.25
  5. Step 5: Solve for x
    x = 688,779,655,256.25/576,163.50
  6. Step 6: Final answer
    x = 1,195,458.68

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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.