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Finding the Third Proportional to 529,021.13 and 805,919.63

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Solution

The third proportional to 529,021.13 and 805,919.63 is: 1,227,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,021.13 : 805,919.63 = 805,919.63 : x
  2. Step 2: Convert to fraction form
    529,021.13/805,919.63 = 805,919.63/x
  3. Step 3: Cross multiply
    529,021.13x = 805,919.63 × 805,919.63
  4. Step 4: Simplify right side
    529,021.13x = 649,506,441,960.14
  5. Step 5: Solve for x
    x = 649,506,441,960.14/529,021.13
  6. Step 6: Final answer
    x = 1,227,751.43

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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.