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Finding the Third Proportional to 354,740 and 532,094

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Solution

The third proportional to 354,740 and 532,094 is: 798,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,740 : 532,094 = 532,094 : x
  2. Step 2: Convert to fraction form
    354,740/532,094 = 532,094/x
  3. Step 3: Cross multiply
    354,740x = 532,094 × 532,094
  4. Step 4: Simplify right side
    354,740x = 283,124,024,836
  5. Step 5: Solve for x
    x = 283,124,024,836/354,740
  6. Step 6: Final answer
    x = 798,117.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.