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Finding the Third Proportional to 533,541 and 780,324

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Solution

The third proportional to 533,541 and 780,324 is: 1,141,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,541 : 780,324 = 780,324 : x
  2. Step 2: Convert to fraction form
    533,541/780,324 = 780,324/x
  3. Step 3: Cross multiply
    533,541x = 780,324 × 780,324
  4. Step 4: Simplify right side
    533,541x = 608,905,544,976
  5. Step 5: Solve for x
    x = 608,905,544,976/533,541
  6. Step 6: Final answer
    x = 1,141,253.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.