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Finding the Third Proportional to 308,454 and 714,006

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Solution

The third proportional to 308,454 and 714,006 is: 1,652,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,454 : 714,006 = 714,006 : x
  2. Step 2: Convert to fraction form
    308,454/714,006 = 714,006/x
  3. Step 3: Cross multiply
    308,454x = 714,006 × 714,006
  4. Step 4: Simplify right side
    308,454x = 509,804,568,036
  5. Step 5: Solve for x
    x = 509,804,568,036/308,454
  6. Step 6: Final answer
    x = 1,652,773.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.