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Finding the Third Proportional to 360,222 and 776,298

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Solution

The third proportional to 360,222 and 776,298 is: 1,672,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,222 : 776,298 = 776,298 : x
  2. Step 2: Convert to fraction form
    360,222/776,298 = 776,298/x
  3. Step 3: Cross multiply
    360,222x = 776,298 × 776,298
  4. Step 4: Simplify right side
    360,222x = 602,638,584,804
  5. Step 5: Solve for x
    x = 602,638,584,804/360,222
  6. Step 6: Final answer
    x = 1,672,964.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.