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Finding the Third Proportional to 377,110 and 824,718

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Solution

The third proportional to 377,110 and 824,718 is: 1,803,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,110 : 824,718 = 824,718 : x
  2. Step 2: Convert to fraction form
    377,110/824,718 = 824,718/x
  3. Step 3: Cross multiply
    377,110x = 824,718 × 824,718
  4. Step 4: Simplify right side
    377,110x = 680,159,779,524
  5. Step 5: Solve for x
    x = 680,159,779,524/377,110
  6. Step 6: Final answer
    x = 1,803,611.09

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Why These Related Problems?

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