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Finding the Third Proportional to 360,097 and 776,021

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Solution

The third proportional to 360,097 and 776,021 is: 1,672,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,097 : 776,021 = 776,021 : x
  2. Step 2: Convert to fraction form
    360,097/776,021 = 776,021/x
  3. Step 3: Cross multiply
    360,097x = 776,021 × 776,021
  4. Step 4: Simplify right side
    360,097x = 602,208,592,441
  5. Step 5: Solve for x
    x = 602,208,592,441/360,097
  6. Step 6: Final answer
    x = 1,672,351.04

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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.