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Finding the Third Proportional to 525,336 and 812,640

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Solution

The third proportional to 525,336 and 812,640 is: 1,257,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,336 : 812,640 = 812,640 : x
  2. Step 2: Convert to fraction form
    525,336/812,640 = 812,640/x
  3. Step 3: Cross multiply
    525,336x = 812,640 × 812,640
  4. Step 4: Simplify right side
    525,336x = 660,383,769,600
  5. Step 5: Solve for x
    x = 660,383,769,600/525,336
  6. Step 6: Final answer
    x = 1,257,069.32

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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.