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Finding the Third Proportional to 369,117 and 527,833.50

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Solution

The third proportional to 369,117 and 527,833.50 is: 754,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,117 : 527,833.50 = 527,833.50 : x
  2. Step 2: Convert to fraction form
    369,117/527,833.50 = 527,833.50/x
  3. Step 3: Cross multiply
    369,117x = 527,833.50 × 527,833.50
  4. Step 4: Simplify right side
    369,117x = 278,608,203,722.25
  5. Step 5: Solve for x
    x = 278,608,203,722.25/369,117
  6. Step 6: Final answer
    x = 754,796.46

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.