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Finding the Third Proportional to 315,256.50 and 433,509.75

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Solution

The third proportional to 315,256.50 and 433,509.75 is: 596,120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,256.50 : 433,509.75 = 433,509.75 : x
  2. Step 2: Convert to fraction form
    315,256.50/433,509.75 = 433,509.75/x
  3. Step 3: Cross multiply
    315,256.50x = 433,509.75 × 433,509.75
  4. Step 4: Simplify right side
    315,256.50x = 187,930,703,345.06
  5. Step 5: Solve for x
    x = 187,930,703,345.06/315,256.50
  6. Step 6: Final answer
    x = 596,120.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.