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Finding the Third Proportional to 262,078.50 and 573,769

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Solution

The third proportional to 262,078.50 and 573,769 is: 1,256,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,078.50 : 573,769 = 573,769 : x
  2. Step 2: Convert to fraction form
    262,078.50/573,769 = 573,769/x
  3. Step 3: Cross multiply
    262,078.50x = 573,769 × 573,769
  4. Step 4: Simplify right side
    262,078.50x = 329,210,865,361
  5. Step 5: Solve for x
    x = 329,210,865,361/262,078.50
  6. Step 6: Final answer
    x = 1,256,153.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.