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Finding the Third Proportional to 508,558.50 and 1,084,590

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Solution

The third proportional to 508,558.50 and 1,084,590 is: 2,313,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,558.50 : 1,084,590 = 1,084,590 : x
  2. Step 2: Convert to fraction form
    508,558.50/1,084,590 = 1,084,590/x
  3. Step 3: Cross multiply
    508,558.50x = 1,084,590 × 1,084,590
  4. Step 4: Simplify right side
    508,558.50x = 1,176,335,468,100
  5. Step 5: Solve for x
    x = 1,176,335,468,100/508,558.50
  6. Step 6: Final answer
    x = 2,313,077.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.