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Finding the Third Proportional to 642,068 and 961,005.50

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Solution

The third proportional to 642,068 and 961,005.50 is: 1,438,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,068 : 961,005.50 = 961,005.50 : x
  2. Step 2: Convert to fraction form
    642,068/961,005.50 = 961,005.50/x
  3. Step 3: Cross multiply
    642,068x = 961,005.50 × 961,005.50
  4. Step 4: Simplify right side
    642,068x = 923,531,571,030.25
  5. Step 5: Solve for x
    x = 923,531,571,030.25/642,068
  6. Step 6: Final answer
    x = 1,438,370.35

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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.