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Finding the Third Proportional to 580,971 and 888,178

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Solution

The third proportional to 580,971 and 888,178 is: 1,357,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,971 : 888,178 = 888,178 : x
  2. Step 2: Convert to fraction form
    580,971/888,178 = 888,178/x
  3. Step 3: Cross multiply
    580,971x = 888,178 × 888,178
  4. Step 4: Simplify right side
    580,971x = 788,860,159,684
  5. Step 5: Solve for x
    x = 788,860,159,684/580,971
  6. Step 6: Final answer
    x = 1,357,830.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.