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Finding the Third Proportional to 377,107.50 and 824,714.06

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Solution

The third proportional to 377,107.50 and 824,714.06 is: 1,803,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,107.50 : 824,714.06 = 824,714.06 : x
  2. Step 2: Convert to fraction form
    377,107.50/824,714.06 = 824,714.06/x
  3. Step 3: Cross multiply
    377,107.50x = 824,714.06 × 824,714.06
  4. Step 4: Simplify right side
    377,107.50x = 680,153,284,885.25
  5. Step 5: Solve for x
    x = 680,153,284,885.25/377,107.50
  6. Step 6: Final answer
    x = 1,803,605.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.