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Finding the Third Proportional to 350,064 and 531,373

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Solution

The third proportional to 350,064 and 531,373 is: 806,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,064 : 531,373 = 531,373 : x
  2. Step 2: Convert to fraction form
    350,064/531,373 = 531,373/x
  3. Step 3: Cross multiply
    350,064x = 531,373 × 531,373
  4. Step 4: Simplify right side
    350,064x = 282,357,265,129
  5. Step 5: Solve for x
    x = 282,357,265,129/350,064
  6. Step 6: Final answer
    x = 806,587.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.