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Finding the Third Proportional to 355,624 and 550,284

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Solution

The third proportional to 355,624 and 550,284 is: 851,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,624 : 550,284 = 550,284 : x
  2. Step 2: Convert to fraction form
    355,624/550,284 = 550,284/x
  3. Step 3: Cross multiply
    355,624x = 550,284 × 550,284
  4. Step 4: Simplify right side
    355,624x = 302,812,480,656
  5. Step 5: Solve for x
    x = 302,812,480,656/355,624
  6. Step 6: Final answer
    x = 851,496.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.