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Finding the Third Proportional to 528,834 and 805,643

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Solution

The third proportional to 528,834 and 805,643 is: 1,227,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,834 : 805,643 = 805,643 : x
  2. Step 2: Convert to fraction form
    528,834/805,643 = 805,643/x
  3. Step 3: Cross multiply
    528,834x = 805,643 × 805,643
  4. Step 4: Simplify right side
    528,834x = 649,060,643,449
  5. Step 5: Solve for x
    x = 649,060,643,449/528,834
  6. Step 6: Final answer
    x = 1,227,342.88

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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.