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Finding the Third Proportional to 340,237.13 and 502,596.56

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Solution

The third proportional to 340,237.13 and 502,596.56 is: 742,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,237.13 : 502,596.56 = 502,596.56 : x
  2. Step 2: Convert to fraction form
    340,237.13/502,596.56 = 502,596.56/x
  3. Step 3: Cross multiply
    340,237.13x = 502,596.56 × 502,596.56
  4. Step 4: Simplify right side
    340,237.13x = 252,603,304,636.82
  5. Step 5: Solve for x
    x = 252,603,304,636.82/340,237.13
  6. Step 6: Final answer
    x = 742,433.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.