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Finding the Third Proportional to 357,541 and 524,623

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Solution

The third proportional to 357,541 and 524,623 is: 769,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,541 : 524,623 = 524,623 : x
  2. Step 2: Convert to fraction form
    357,541/524,623 = 524,623/x
  3. Step 3: Cross multiply
    357,541x = 524,623 × 524,623
  4. Step 4: Simplify right side
    357,541x = 275,229,292,129
  5. Step 5: Solve for x
    x = 275,229,292,129/357,541
  6. Step 6: Final answer
    x = 769,783.86

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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.