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Finding the Third Proportional to 328,025,598 and 722,913,258

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Solution

The third proportional to 328,025,598 and 722,913,258 is: 1,593,179,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,025,598 : 722,913,258 = 722,913,258 : x
  2. Step 2: Convert to fraction form
    328,025,598/722,913,258 = 722,913,258/x
  3. Step 3: Cross multiply
    328,025,598x = 722,913,258 × 722,913,258
  4. Step 4: Simplify right side
    328,025,598x = 522,603,578,592,174,592
  5. Step 5: Solve for x
    x = 522,603,578,592,174,592/328,025,598
  6. Step 6: Final answer
    x = 1,593,179,257.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.