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Finding the Third Proportional to 362,002.50 and 780,111

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Solution

The third proportional to 362,002.50 and 780,111 is: 1,681,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,002.50 : 780,111 = 780,111 : x
  2. Step 2: Convert to fraction form
    362,002.50/780,111 = 780,111/x
  3. Step 3: Cross multiply
    362,002.50x = 780,111 × 780,111
  4. Step 4: Simplify right side
    362,002.50x = 608,573,172,321
  5. Step 5: Solve for x
    x = 608,573,172,321/362,002.50
  6. Step 6: Final answer
    x = 1,681,129.75

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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.