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Finding the Third Proportional to 380,945 and 602,697

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Solution

The third proportional to 380,945 and 602,697 is: 953,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,945 : 602,697 = 602,697 : x
  2. Step 2: Convert to fraction form
    380,945/602,697 = 602,697/x
  3. Step 3: Cross multiply
    380,945x = 602,697 × 602,697
  4. Step 4: Simplify right side
    380,945x = 363,243,673,809
  5. Step 5: Solve for x
    x = 363,243,673,809/380,945
  6. Step 6: Final answer
    x = 953,533.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.