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Finding the Third Proportional to 461,851 and 735,464

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Solution

The third proportional to 461,851 and 735,464 is: 1,171,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,851 : 735,464 = 735,464 : x
  2. Step 2: Convert to fraction form
    461,851/735,464 = 735,464/x
  3. Step 3: Cross multiply
    461,851x = 735,464 × 735,464
  4. Step 4: Simplify right side
    461,851x = 540,907,295,296
  5. Step 5: Solve for x
    x = 540,907,295,296/461,851
  6. Step 6: Final answer
    x = 1,171,172.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.