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Finding the Third Proportional to 574,263 and 845,532

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Solution

The third proportional to 574,263 and 845,532 is: 1,244,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,263 : 845,532 = 845,532 : x
  2. Step 2: Convert to fraction form
    574,263/845,532 = 845,532/x
  3. Step 3: Cross multiply
    574,263x = 845,532 × 845,532
  4. Step 4: Simplify right side
    574,263x = 714,924,363,024
  5. Step 5: Solve for x
    x = 714,924,363,024/574,263
  6. Step 6: Final answer
    x = 1,244,942.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.