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Finding the Third Proportional to 377,448 and 824,904

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Solution

The third proportional to 377,448 and 824,904 is: 1,802,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,448 : 824,904 = 824,904 : x
  2. Step 2: Convert to fraction form
    377,448/824,904 = 824,904/x
  3. Step 3: Cross multiply
    377,448x = 824,904 × 824,904
  4. Step 4: Simplify right side
    377,448x = 680,466,609,216
  5. Step 5: Solve for x
    x = 680,466,609,216/377,448
  6. Step 6: Final answer
    x = 1,802,808.89

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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.