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Finding the Third Proportional to 351,833.63 and 566,501.34

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Solution

The third proportional to 351,833.63 and 566,501.34 is: 912,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,833.63 : 566,501.34 = 566,501.34 : x
  2. Step 2: Convert to fraction form
    351,833.63/566,501.34 = 566,501.34/x
  3. Step 3: Cross multiply
    351,833.63x = 566,501.34 × 566,501.34
  4. Step 4: Simplify right side
    351,833.63x = 320,923,772,470.56
  5. Step 5: Solve for x
    x = 320,923,772,470.56/351,833.63
  6. Step 6: Final answer
    x = 912,146.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.