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Finding the Third Proportional to 298,251 and 653,202

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Solution

The third proportional to 298,251 and 653,202 is: 1,430,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,251 : 653,202 = 653,202 : x
  2. Step 2: Convert to fraction form
    298,251/653,202 = 653,202/x
  3. Step 3: Cross multiply
    298,251x = 653,202 × 653,202
  4. Step 4: Simplify right side
    298,251x = 426,672,852,804
  5. Step 5: Solve for x
    x = 426,672,852,804/298,251
  6. Step 6: Final answer
    x = 1,430,583.14

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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.