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Finding the Third Proportional to 262,981.50 and 567,987

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Solution

The third proportional to 262,981.50 and 567,987 is: 1,226,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,981.50 : 567,987 = 567,987 : x
  2. Step 2: Convert to fraction form
    262,981.50/567,987 = 567,987/x
  3. Step 3: Cross multiply
    262,981.50x = 567,987 × 567,987
  4. Step 4: Simplify right side
    262,981.50x = 322,609,232,169
  5. Step 5: Solve for x
    x = 322,609,232,169/262,981.50
  6. Step 6: Final answer
    x = 1,226,737.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.