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Finding the Third Proportional to 576,300.94 and 925,961.06

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Solution

The third proportional to 576,300.94 and 925,961.06 is: 1,487,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,300.94 : 925,961.06 = 925,961.06 : x
  2. Step 2: Convert to fraction form
    576,300.94/925,961.06 = 925,961.06/x
  3. Step 3: Cross multiply
    576,300.94x = 925,961.06 × 925,961.06
  4. Step 4: Simplify right side
    576,300.94x = 857,403,889,266.13
  5. Step 5: Solve for x
    x = 857,403,889,266.13/576,300.94
  6. Step 6: Final answer
    x = 1,487,771.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.