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Finding the Third Proportional to 343,506.38 and 504,995.63

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Solution

The third proportional to 343,506.38 and 504,995.63 is: 742,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,506.38 : 504,995.63 = 504,995.63 : x
  2. Step 2: Convert to fraction form
    343,506.38/504,995.63 = 504,995.63/x
  3. Step 3: Cross multiply
    343,506.38x = 504,995.63 × 504,995.63
  4. Step 4: Simplify right side
    343,506.38x = 255,020,581,269.14
  5. Step 5: Solve for x
    x = 255,020,581,269.14/343,506.38
  6. Step 6: Final answer
    x = 742,404.22

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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.