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Finding the Third Proportional to 665,840.25 and 1,015,345.13

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Solution

The third proportional to 665,840.25 and 1,015,345.13 is: 1,548,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,840.25 : 1,015,345.13 = 1,015,345.13 : x
  2. Step 2: Convert to fraction form
    665,840.25/1,015,345.13 = 1,015,345.13/x
  3. Step 3: Cross multiply
    665,840.25x = 1,015,345.13 × 1,015,345.13
  4. Step 4: Simplify right side
    665,840.25x = 1,030,925,722,861.27
  5. Step 5: Solve for x
    x = 1,030,925,722,861.27/665,840.25
  6. Step 6: Final answer
    x = 1,548,307.91

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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.