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Finding the Third Proportional to 581,714.50 and 893,836

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Solution

The third proportional to 581,714.50 and 893,836 is: 1,373,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,714.50 : 893,836 = 893,836 : x
  2. Step 2: Convert to fraction form
    581,714.50/893,836 = 893,836/x
  3. Step 3: Cross multiply
    581,714.50x = 893,836 × 893,836
  4. Step 4: Simplify right side
    581,714.50x = 798,942,794,896
  5. Step 5: Solve for x
    x = 798,942,794,896/581,714.50
  6. Step 6: Final answer
    x = 1,373,427.68

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