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Finding the Third Proportional to 357,849 and 536,778

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Solution

The third proportional to 357,849 and 536,778 is: 805,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,849 : 536,778 = 536,778 : x
  2. Step 2: Convert to fraction form
    357,849/536,778 = 536,778/x
  3. Step 3: Cross multiply
    357,849x = 536,778 × 536,778
  4. Step 4: Simplify right side
    357,849x = 288,130,621,284
  5. Step 5: Solve for x
    x = 288,130,621,284/357,849
  6. Step 6: Final answer
    x = 805,173.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.