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Finding the Third Proportional to 380,943 and 602,694

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Solution

The third proportional to 380,943 and 602,694 is: 953,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,943 : 602,694 = 602,694 : x
  2. Step 2: Convert to fraction form
    380,943/602,694 = 602,694/x
  3. Step 3: Cross multiply
    380,943x = 602,694 × 602,694
  4. Step 4: Simplify right side
    380,943x = 363,240,057,636
  5. Step 5: Solve for x
    x = 363,240,057,636/380,943
  6. Step 6: Final answer
    x = 953,528.63

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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.