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Finding the Third Proportional to 529,092 and 810,729

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Solution

The third proportional to 529,092 and 810,729 is: 1,242,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,092 : 810,729 = 810,729 : x
  2. Step 2: Convert to fraction form
    529,092/810,729 = 810,729/x
  3. Step 3: Cross multiply
    529,092x = 810,729 × 810,729
  4. Step 4: Simplify right side
    529,092x = 657,281,511,441
  5. Step 5: Solve for x
    x = 657,281,511,441/529,092
  6. Step 6: Final answer
    x = 1,242,282.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.