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Finding the Third Proportional to 528,822 and 805,625

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Solution

The third proportional to 528,822 and 805,625 is: 1,227,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,822 : 805,625 = 805,625 : x
  2. Step 2: Convert to fraction form
    528,822/805,625 = 805,625/x
  3. Step 3: Cross multiply
    528,822x = 805,625 × 805,625
  4. Step 4: Simplify right side
    528,822x = 649,031,640,625
  5. Step 5: Solve for x
    x = 649,031,640,625/528,822
  6. Step 6: Final answer
    x = 1,227,315.88

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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.