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Finding the Third Proportional to 528,850 and 805,675

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Solution

The third proportional to 528,850 and 805,675 is: 1,227,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,850 : 805,675 = 805,675 : x
  2. Step 2: Convert to fraction form
    528,850/805,675 = 805,675/x
  3. Step 3: Cross multiply
    528,850x = 805,675 × 805,675
  4. Step 4: Simplify right side
    528,850x = 649,112,205,625
  5. Step 5: Solve for x
    x = 649,112,205,625/528,850
  6. Step 6: Final answer
    x = 1,227,403.24

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Why These Related Problems?

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