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Finding the Third Proportional to 360,207 and 776,277

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Solution

The third proportional to 360,207 and 776,277 is: 1,672,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,207 : 776,277 = 776,277 : x
  2. Step 2: Convert to fraction form
    360,207/776,277 = 776,277/x
  3. Step 3: Cross multiply
    360,207x = 776,277 × 776,277
  4. Step 4: Simplify right side
    360,207x = 602,605,980,729
  5. Step 5: Solve for x
    x = 602,605,980,729/360,207
  6. Step 6: Final answer
    x = 1,672,943.56

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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.