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Finding the Third Proportional to 523,524 and 830,324

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Solution

The third proportional to 523,524 and 830,324 is: 1,316,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,524 : 830,324 = 830,324 : x
  2. Step 2: Convert to fraction form
    523,524/830,324 = 830,324/x
  3. Step 3: Cross multiply
    523,524x = 830,324 × 830,324
  4. Step 4: Simplify right side
    523,524x = 689,437,944,976
  5. Step 5: Solve for x
    x = 689,437,944,976/523,524
  6. Step 6: Final answer
    x = 1,316,917.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.