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Finding the Third Proportional to 531,587.50 and 817,069

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Solution

The third proportional to 531,587.50 and 817,069 is: 1,255,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,587.50 : 817,069 = 817,069 : x
  2. Step 2: Convert to fraction form
    531,587.50/817,069 = 817,069/x
  3. Step 3: Cross multiply
    531,587.50x = 817,069 × 817,069
  4. Step 4: Simplify right side
    531,587.50x = 667,601,750,761
  5. Step 5: Solve for x
    x = 667,601,750,761/531,587.50
  6. Step 6: Final answer
    x = 1,255,864.28

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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.