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Finding the Third Proportional to 524,196.56 and 801,535.50

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Solution

The third proportional to 524,196.56 and 801,535.50 is: 1,225,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,196.56 : 801,535.50 = 801,535.50 : x
  2. Step 2: Convert to fraction form
    524,196.56/801,535.50 = 801,535.50/x
  3. Step 3: Cross multiply
    524,196.56x = 801,535.50 × 801,535.50
  4. Step 4: Simplify right side
    524,196.56x = 642,459,157,760.25
  5. Step 5: Solve for x
    x = 642,459,157,760.25/524,196.56
  6. Step 6: Final answer
    x = 1,225,607.35

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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.