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Finding the Third Proportional to 627,752 and 943,032

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Solution

The third proportional to 627,752 and 943,032 is: 1,416,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,752 : 943,032 = 943,032 : x
  2. Step 2: Convert to fraction form
    627,752/943,032 = 943,032/x
  3. Step 3: Cross multiply
    627,752x = 943,032 × 943,032
  4. Step 4: Simplify right side
    627,752x = 889,309,353,024
  5. Step 5: Solve for x
    x = 889,309,353,024/627,752
  6. Step 6: Final answer
    x = 1,416,657.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.