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Finding the Third Proportional to 528,943.25 and 805,809

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Solution

The third proportional to 528,943.25 and 805,809 is: 1,227,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,943.25 : 805,809 = 805,809 : x
  2. Step 2: Convert to fraction form
    528,943.25/805,809 = 805,809/x
  3. Step 3: Cross multiply
    528,943.25x = 805,809 × 805,809
  4. Step 4: Simplify right side
    528,943.25x = 649,328,144,481
  5. Step 5: Solve for x
    x = 649,328,144,481/528,943.25
  6. Step 6: Final answer
    x = 1,227,595.10

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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.