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Finding the Third Proportional to 377,385 and 824,754

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Solution

The third proportional to 377,385 and 824,754 is: 1,802,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,385 : 824,754 = 824,754 : x
  2. Step 2: Convert to fraction form
    377,385/824,754 = 824,754/x
  3. Step 3: Cross multiply
    377,385x = 824,754 × 824,754
  4. Step 4: Simplify right side
    377,385x = 680,219,160,516
  5. Step 5: Solve for x
    x = 680,219,160,516/377,385
  6. Step 6: Final answer
    x = 1,802,454.15

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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.