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Finding the Third Proportional to 219,373.50 and 478,896

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Solution

The third proportional to 219,373.50 and 478,896 is: 1,045,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,373.50 : 478,896 = 478,896 : x
  2. Step 2: Convert to fraction form
    219,373.50/478,896 = 478,896/x
  3. Step 3: Cross multiply
    219,373.50x = 478,896 × 478,896
  4. Step 4: Simplify right side
    219,373.50x = 229,341,378,816
  5. Step 5: Solve for x
    x = 229,341,378,816/219,373.50
  6. Step 6: Final answer
    x = 1,045,437.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.