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Finding the Third Proportional to 262,965 and 575,685

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Solution

The third proportional to 262,965 and 575,685 is: 1,260,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,965 : 575,685 = 575,685 : x
  2. Step 2: Convert to fraction form
    262,965/575,685 = 575,685/x
  3. Step 3: Cross multiply
    262,965x = 575,685 × 575,685
  4. Step 4: Simplify right side
    262,965x = 331,413,219,225
  5. Step 5: Solve for x
    x = 331,413,219,225/262,965
  6. Step 6: Final answer
    x = 1,260,294.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.