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Finding the Third Proportional to 245,869 and 370,535

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Solution

The third proportional to 245,869 and 370,535 is: 558,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,869 : 370,535 = 370,535 : x
  2. Step 2: Convert to fraction form
    245,869/370,535 = 370,535/x
  3. Step 3: Cross multiply
    245,869x = 370,535 × 370,535
  4. Step 4: Simplify right side
    245,869x = 137,296,186,225
  5. Step 5: Solve for x
    x = 137,296,186,225/245,869
  6. Step 6: Final answer
    x = 558,411.94

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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.