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Finding the Third Proportional to 524,343 and 801,796.50

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Solution

The third proportional to 524,343 and 801,796.50 is: 1,226,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,343 : 801,796.50 = 801,796.50 : x
  2. Step 2: Convert to fraction form
    524,343/801,796.50 = 801,796.50/x
  3. Step 3: Cross multiply
    524,343x = 801,796.50 × 801,796.50
  4. Step 4: Simplify right side
    524,343x = 642,877,627,412.25
  5. Step 5: Solve for x
    x = 642,877,627,412.25/524,343
  6. Step 6: Final answer
    x = 1,226,063.14

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