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Finding the Third Proportional to 525,532 and 812,800

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Solution

The third proportional to 525,532 and 812,800 is: 1,257,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,532 : 812,800 = 812,800 : x
  2. Step 2: Convert to fraction form
    525,532/812,800 = 812,800/x
  3. Step 3: Cross multiply
    525,532x = 812,800 × 812,800
  4. Step 4: Simplify right side
    525,532x = 660,643,840,000
  5. Step 5: Solve for x
    x = 660,643,840,000/525,532
  6. Step 6: Final answer
    x = 1,257,095.36

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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.