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Finding the Third Proportional to 357,538.50 and 524,619

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Solution

The third proportional to 357,538.50 and 524,619 is: 769,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,538.50 : 524,619 = 524,619 : x
  2. Step 2: Convert to fraction form
    357,538.50/524,619 = 524,619/x
  3. Step 3: Cross multiply
    357,538.50x = 524,619 × 524,619
  4. Step 4: Simplify right side
    357,538.50x = 275,225,095,161
  5. Step 5: Solve for x
    x = 275,225,095,161/357,538.50
  6. Step 6: Final answer
    x = 769,777.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.