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Finding the Third Proportional to 370,203.50 and 559,861

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Solution

The third proportional to 370,203.50 and 559,861 is: 846,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,203.50 : 559,861 = 559,861 : x
  2. Step 2: Convert to fraction form
    370,203.50/559,861 = 559,861/x
  3. Step 3: Cross multiply
    370,203.50x = 559,861 × 559,861
  4. Step 4: Simplify right side
    370,203.50x = 313,444,339,321
  5. Step 5: Solve for x
    x = 313,444,339,321/370,203.50
  6. Step 6: Final answer
    x = 846,681.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.