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Finding the Third Proportional to 525,988 and 854,550

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Solution

The third proportional to 525,988 and 854,550 is: 1,388,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,988 : 854,550 = 854,550 : x
  2. Step 2: Convert to fraction form
    525,988/854,550 = 854,550/x
  3. Step 3: Cross multiply
    525,988x = 854,550 × 854,550
  4. Step 4: Simplify right side
    525,988x = 730,255,702,500
  5. Step 5: Solve for x
    x = 730,255,702,500/525,988
  6. Step 6: Final answer
    x = 1,388,350.50

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.