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Finding the Third Proportional to 360,270 and 776,210

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Solution

The third proportional to 360,270 and 776,210 is: 1,672,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,270 : 776,210 = 776,210 : x
  2. Step 2: Convert to fraction form
    360,270/776,210 = 776,210/x
  3. Step 3: Cross multiply
    360,270x = 776,210 × 776,210
  4. Step 4: Simplify right side
    360,270x = 602,501,964,100
  5. Step 5: Solve for x
    x = 602,501,964,100/360,270
  6. Step 6: Final answer
    x = 1,672,362.30

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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.