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Finding the Third Proportional to 365,804 and 521,488

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Solution

The third proportional to 365,804 and 521,488 is: 743,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,804 : 521,488 = 521,488 : x
  2. Step 2: Convert to fraction form
    365,804/521,488 = 521,488/x
  3. Step 3: Cross multiply
    365,804x = 521,488 × 521,488
  4. Step 4: Simplify right side
    365,804x = 271,949,734,144
  5. Step 5: Solve for x
    x = 271,949,734,144/365,804
  6. Step 6: Final answer
    x = 743,430.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.