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Finding the Third Proportional to 223,411.50 and 478,804.50

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Solution

The third proportional to 223,411.50 and 478,804.50 is: 1,026,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,411.50 : 478,804.50 = 478,804.50 : x
  2. Step 2: Convert to fraction form
    223,411.50/478,804.50 = 478,804.50/x
  3. Step 3: Cross multiply
    223,411.50x = 478,804.50 × 478,804.50
  4. Step 4: Simplify right side
    223,411.50x = 229,253,749,220.25
  5. Step 5: Solve for x
    x = 229,253,749,220.25/223,411.50
  6. Step 6: Final answer
    x = 1,026,150.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.