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Finding the Third Proportional to 528,829.50 and 805,634.25

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Solution

The third proportional to 528,829.50 and 805,634.25 is: 1,227,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,829.50 : 805,634.25 = 805,634.25 : x
  2. Step 2: Convert to fraction form
    528,829.50/805,634.25 = 805,634.25/x
  3. Step 3: Cross multiply
    528,829.50x = 805,634.25 × 805,634.25
  4. Step 4: Simplify right side
    528,829.50x = 649,046,544,773.06
  5. Step 5: Solve for x
    x = 649,046,544,773.06/528,829.50
  6. Step 6: Final answer
    x = 1,227,326.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.