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Finding the Third Proportional to 360,268 and 776,206

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Solution

The third proportional to 360,268 and 776,206 is: 1,672,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,268 : 776,206 = 776,206 : x
  2. Step 2: Convert to fraction form
    360,268/776,206 = 776,206/x
  3. Step 3: Cross multiply
    360,268x = 776,206 × 776,206
  4. Step 4: Simplify right side
    360,268x = 602,495,754,436
  5. Step 5: Solve for x
    x = 602,495,754,436/360,268
  6. Step 6: Final answer
    x = 1,672,354.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.