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Finding the Third Proportional to 442,000.50 and 964,954.50

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Solution

The third proportional to 442,000.50 and 964,954.50 is: 2,106,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,000.50 : 964,954.50 = 964,954.50 : x
  2. Step 2: Convert to fraction form
    442,000.50/964,954.50 = 964,954.50/x
  3. Step 3: Cross multiply
    442,000.50x = 964,954.50 × 964,954.50
  4. Step 4: Simplify right side
    442,000.50x = 931,137,187,070.25
  5. Step 5: Solve for x
    x = 931,137,187,070.25/442,000.50
  6. Step 6: Final answer
    x = 2,106,642.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.