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Finding the Third Proportional to 331,276 and 516,594

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Solution

The third proportional to 331,276 and 516,594 is: 805,580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,276 : 516,594 = 516,594 : x
  2. Step 2: Convert to fraction form
    331,276/516,594 = 516,594/x
  3. Step 3: Cross multiply
    331,276x = 516,594 × 516,594
  4. Step 4: Simplify right side
    331,276x = 266,869,360,836
  5. Step 5: Solve for x
    x = 266,869,360,836/331,276
  6. Step 6: Final answer
    x = 805,580.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.