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Finding the Third Proportional to 665,833.50 and 1,015,335

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Solution

The third proportional to 665,833.50 and 1,015,335 is: 1,548,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,833.50 : 1,015,335 = 1,015,335 : x
  2. Step 2: Convert to fraction form
    665,833.50/1,015,335 = 1,015,335/x
  3. Step 3: Cross multiply
    665,833.50x = 1,015,335 × 1,015,335
  4. Step 4: Simplify right side
    665,833.50x = 1,030,905,162,225
  5. Step 5: Solve for x
    x = 1,030,905,162,225/665,833.50
  6. Step 6: Final answer
    x = 1,548,292.72

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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.