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Finding the Third Proportional to 761,477.25 and 1,142,367.75

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Solution

The third proportional to 761,477.25 and 1,142,367.75 is: 1,713,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,477.25 : 1,142,367.75 = 1,142,367.75 : x
  2. Step 2: Convert to fraction form
    761,477.25/1,142,367.75 = 1,142,367.75/x
  3. Step 3: Cross multiply
    761,477.25x = 1,142,367.75 × 1,142,367.75
  4. Step 4: Simplify right side
    761,477.25x = 1,305,004,076,240.06
  5. Step 5: Solve for x
    x = 1,305,004,076,240.06/761,477.25
  6. Step 6: Final answer
    x = 1,713,779.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.