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Finding the Third Proportional to 357,541 and 524,622

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Solution

The third proportional to 357,541 and 524,622 is: 769,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,541 : 524,622 = 524,622 : x
  2. Step 2: Convert to fraction form
    357,541/524,622 = 524,622/x
  3. Step 3: Cross multiply
    357,541x = 524,622 × 524,622
  4. Step 4: Simplify right side
    357,541x = 275,228,242,884
  5. Step 5: Solve for x
    x = 275,228,242,884/357,541
  6. Step 6: Final answer
    x = 769,780.93

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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.