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Finding the Third Proportional to 353,880 and 562,878

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Solution

The third proportional to 353,880 and 562,878 is: 895,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,880 : 562,878 = 562,878 : x
  2. Step 2: Convert to fraction form
    353,880/562,878 = 562,878/x
  3. Step 3: Cross multiply
    353,880x = 562,878 × 562,878
  4. Step 4: Simplify right side
    353,880x = 316,831,642,884
  5. Step 5: Solve for x
    x = 316,831,642,884/353,880
  6. Step 6: Final answer
    x = 895,308.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.