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Finding the Third Proportional to 287,215.50 and 613,527

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Solution

The third proportional to 287,215.50 and 613,527 is: 1,310,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,215.50 : 613,527 = 613,527 : x
  2. Step 2: Convert to fraction form
    287,215.50/613,527 = 613,527/x
  3. Step 3: Cross multiply
    287,215.50x = 613,527 × 613,527
  4. Step 4: Simplify right side
    287,215.50x = 376,415,379,729
  5. Step 5: Solve for x
    x = 376,415,379,729/287,215.50
  6. Step 6: Final answer
    x = 1,310,567.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.