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Finding the Third Proportional to 531,969 and 817,690.50

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Solution

The third proportional to 531,969 and 817,690.50 is: 1,256,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,969 : 817,690.50 = 817,690.50 : x
  2. Step 2: Convert to fraction form
    531,969/817,690.50 = 817,690.50/x
  3. Step 3: Cross multiply
    531,969x = 817,690.50 × 817,690.50
  4. Step 4: Simplify right side
    531,969x = 668,617,753,790.25
  5. Step 5: Solve for x
    x = 668,617,753,790.25/531,969
  6. Step 6: Final answer
    x = 1,256,873.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.