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Finding the Third Proportional to 282,776.50 and 666,963.50

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Solution

The third proportional to 282,776.50 and 666,963.50 is: 1,573,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,776.50 : 666,963.50 = 666,963.50 : x
  2. Step 2: Convert to fraction form
    282,776.50/666,963.50 = 666,963.50/x
  3. Step 3: Cross multiply
    282,776.50x = 666,963.50 × 666,963.50
  4. Step 4: Simplify right side
    282,776.50x = 444,840,310,332.25
  5. Step 5: Solve for x
    x = 444,840,310,332.25/282,776.50
  6. Step 6: Final answer
    x = 1,573,116.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.