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Finding the Third Proportional to 622,893.50 and 960,901.50

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Solution

The third proportional to 622,893.50 and 960,901.50 is: 1,482,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,893.50 : 960,901.50 = 960,901.50 : x
  2. Step 2: Convert to fraction form
    622,893.50/960,901.50 = 960,901.50/x
  3. Step 3: Cross multiply
    622,893.50x = 960,901.50 × 960,901.50
  4. Step 4: Simplify right side
    622,893.50x = 923,331,692,702.25
  5. Step 5: Solve for x
    x = 923,331,692,702.25/622,893.50
  6. Step 6: Final answer
    x = 1,482,326.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.