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Finding the Third Proportional to 377,262 and 824,484

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Solution

The third proportional to 377,262 and 824,484 is: 1,801,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,262 : 824,484 = 824,484 : x
  2. Step 2: Convert to fraction form
    377,262/824,484 = 824,484/x
  3. Step 3: Cross multiply
    377,262x = 824,484 × 824,484
  4. Step 4: Simplify right side
    377,262x = 679,773,866,256
  5. Step 5: Solve for x
    x = 679,773,866,256/377,262
  6. Step 6: Final answer
    x = 1,801,861.48

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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.