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Finding the Third Proportional to 245,872 and 370,538

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Solution

The third proportional to 245,872 and 370,538 is: 558,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,872 : 370,538 = 370,538 : x
  2. Step 2: Convert to fraction form
    245,872/370,538 = 370,538/x
  3. Step 3: Cross multiply
    245,872x = 370,538 × 370,538
  4. Step 4: Simplify right side
    245,872x = 137,298,409,444
  5. Step 5: Solve for x
    x = 137,298,409,444/245,872
  6. Step 6: Final answer
    x = 558,414.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.