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Finding the Third Proportional to 222,528 and 478,752

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Solution

The third proportional to 222,528 and 478,752 is: 1,029,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,528 : 478,752 = 478,752 : x
  2. Step 2: Convert to fraction form
    222,528/478,752 = 478,752/x
  3. Step 3: Cross multiply
    222,528x = 478,752 × 478,752
  4. Step 4: Simplify right side
    222,528x = 229,203,477,504
  5. Step 5: Solve for x
    x = 229,203,477,504/222,528
  6. Step 6: Final answer
    x = 1,029,998.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.