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Finding the Third Proportional to 245,426,728 and 370,685,177

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Solution

The third proportional to 245,426,728 and 370,685,177 is: 559,871,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,426,728 : 370,685,177 = 370,685,177 : x
  2. Step 2: Convert to fraction form
    245,426,728/370,685,177 = 370,685,177/x
  3. Step 3: Cross multiply
    245,426,728x = 370,685,177 × 370,685,177
  4. Step 4: Simplify right side
    245,426,728x = 137,407,500,447,521,328
  5. Step 5: Solve for x
    x = 137,407,500,447,521,328/245,426,728
  6. Step 6: Final answer
    x = 559,871,785.63

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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.