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Finding the Third Proportional to 528,816.75 and 805,618.50

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Solution

The third proportional to 528,816.75 and 805,618.50 is: 1,227,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,816.75 : 805,618.50 = 805,618.50 : x
  2. Step 2: Convert to fraction form
    528,816.75/805,618.50 = 805,618.50/x
  3. Step 3: Cross multiply
    528,816.75x = 805,618.50 × 805,618.50
  4. Step 4: Simplify right side
    528,816.75x = 649,021,167,542.25
  5. Step 5: Solve for x
    x = 649,021,167,542.25/528,816.75
  6. Step 6: Final answer
    x = 1,227,308.26

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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.