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Finding the Third Proportional to 338,536 and 525,880

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Solution

The third proportional to 338,536 and 525,880 is: 816,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,536 : 525,880 = 525,880 : x
  2. Step 2: Convert to fraction form
    338,536/525,880 = 525,880/x
  3. Step 3: Cross multiply
    338,536x = 525,880 × 525,880
  4. Step 4: Simplify right side
    338,536x = 276,549,774,400
  5. Step 5: Solve for x
    x = 276,549,774,400/338,536
  6. Step 6: Final answer
    x = 816,899.16

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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.