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Finding the Third Proportional to 310,563 and 437,224.50

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Solution

The third proportional to 310,563 and 437,224.50 is: 615,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,563 : 437,224.50 = 437,224.50 : x
  2. Step 2: Convert to fraction form
    310,563/437,224.50 = 437,224.50/x
  3. Step 3: Cross multiply
    310,563x = 437,224.50 × 437,224.50
  4. Step 4: Simplify right side
    310,563x = 191,165,263,400.25
  5. Step 5: Solve for x
    x = 191,165,263,400.25/310,563
  6. Step 6: Final answer
    x = 615,544.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.