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Finding the Third Proportional to 343,429.88 and 504,856.13

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Solution

The third proportional to 343,429.88 and 504,856.13 is: 742,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,429.88 : 504,856.13 = 504,856.13 : x
  2. Step 2: Convert to fraction form
    343,429.88/504,856.13 = 504,856.13/x
  3. Step 3: Cross multiply
    343,429.88x = 504,856.13 × 504,856.13
  4. Step 4: Simplify right side
    343,429.88x = 254,879,706,950.02
  5. Step 5: Solve for x
    x = 254,879,706,950.02/343,429.88
  6. Step 6: Final answer
    x = 742,159.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.