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Finding the Third Proportional to 468,297 and 697,261

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Solution

The third proportional to 468,297 and 697,261 is: 1,038,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,297 : 697,261 = 697,261 : x
  2. Step 2: Convert to fraction form
    468,297/697,261 = 697,261/x
  3. Step 3: Cross multiply
    468,297x = 697,261 × 697,261
  4. Step 4: Simplify right side
    468,297x = 486,172,902,121
  5. Step 5: Solve for x
    x = 486,172,902,121/468,297
  6. Step 6: Final answer
    x = 1,038,172.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.