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Finding the Third Proportional to 524,733.19 and 970,623

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Solution

The third proportional to 524,733.19 and 970,623 is: 1,795,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,733.19 : 970,623 = 970,623 : x
  2. Step 2: Convert to fraction form
    524,733.19/970,623 = 970,623/x
  3. Step 3: Cross multiply
    524,733.19x = 970,623 × 970,623
  4. Step 4: Simplify right side
    524,733.19x = 942,109,008,129
  5. Step 5: Solve for x
    x = 942,109,008,129/524,733.19
  6. Step 6: Final answer
    x = 1,795,405.80

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.