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Finding the Third Proportional to 362,292.75 and 532,362.38

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Solution

The third proportional to 362,292.75 and 532,362.38 is: 782,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,292.75 : 532,362.38 = 532,362.38 : x
  2. Step 2: Convert to fraction form
    362,292.75/532,362.38 = 532,362.38/x
  3. Step 3: Cross multiply
    362,292.75x = 532,362.38 × 532,362.38
  4. Step 4: Simplify right side
    362,292.75x = 283,409,698,315.64
  5. Step 5: Solve for x
    x = 283,409,698,315.64/362,292.75
  6. Step 6: Final answer
    x = 782,267.10

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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.