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Finding the Third Proportional to 523,933 and 788,495

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Solution

The third proportional to 523,933 and 788,495 is: 1,186,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,933 : 788,495 = 788,495 : x
  2. Step 2: Convert to fraction form
    523,933/788,495 = 788,495/x
  3. Step 3: Cross multiply
    523,933x = 788,495 × 788,495
  4. Step 4: Simplify right side
    523,933x = 621,724,365,025
  5. Step 5: Solve for x
    x = 621,724,365,025/523,933
  6. Step 6: Final answer
    x = 1,186,648.61

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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.