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Finding the Third Proportional to 642,942 and 970,246.50

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Solution

The third proportional to 642,942 and 970,246.50 is: 1,464,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,942 : 970,246.50 = 970,246.50 : x
  2. Step 2: Convert to fraction form
    642,942/970,246.50 = 970,246.50/x
  3. Step 3: Cross multiply
    642,942x = 970,246.50 × 970,246.50
  4. Step 4: Simplify right side
    642,942x = 941,378,270,762.25
  5. Step 5: Solve for x
    x = 941,378,270,762.25/642,942
  6. Step 6: Final answer
    x = 1,464,172.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.