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Finding the Third Proportional to 298,790 and 653,522

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Solution

The third proportional to 298,790 and 653,522 is: 1,429,401.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,790 : 653,522 = 653,522 : x
  2. Step 2: Convert to fraction form
    298,790/653,522 = 653,522/x
  3. Step 3: Cross multiply
    298,790x = 653,522 × 653,522
  4. Step 4: Simplify right side
    298,790x = 427,091,004,484
  5. Step 5: Solve for x
    x = 427,091,004,484/298,790
  6. Step 6: Final answer
    x = 1,429,401.94

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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.