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Finding the Third Proportional to 583,264.13 and 892,653.75

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Solution

The third proportional to 583,264.13 and 892,653.75 is: 1,366,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,264.13 : 892,653.75 = 892,653.75 : x
  2. Step 2: Convert to fraction form
    583,264.13/892,653.75 = 892,653.75/x
  3. Step 3: Cross multiply
    583,264.13x = 892,653.75 × 892,653.75
  4. Step 4: Simplify right side
    583,264.13x = 796,830,717,389.06
  5. Step 5: Solve for x
    x = 796,830,717,389.06/583,264.13
  6. Step 6: Final answer
    x = 1,366,157.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.