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Finding the Third Proportional to 462,951 and 700,231.50

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Solution

The third proportional to 462,951 and 700,231.50 is: 1,059,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,951 : 700,231.50 = 700,231.50 : x
  2. Step 2: Convert to fraction form
    462,951/700,231.50 = 700,231.50/x
  3. Step 3: Cross multiply
    462,951x = 700,231.50 × 700,231.50
  4. Step 4: Simplify right side
    462,951x = 490,324,153,592.25
  5. Step 5: Solve for x
    x = 490,324,153,592.25/462,951
  6. Step 6: Final answer
    x = 1,059,127.54

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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.