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Finding the Third Proportional to 362,127 and 550,966.50

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Solution

The third proportional to 362,127 and 550,966.50 is: 838,280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,127 : 550,966.50 = 550,966.50 : x
  2. Step 2: Convert to fraction form
    362,127/550,966.50 = 550,966.50/x
  3. Step 3: Cross multiply
    362,127x = 550,966.50 × 550,966.50
  4. Step 4: Simplify right side
    362,127x = 303,564,084,122.25
  5. Step 5: Solve for x
    x = 303,564,084,122.25/362,127
  6. Step 6: Final answer
    x = 838,280.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.