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Finding the Third Proportional to 341,535.38 and 509,531.63

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Solution

The third proportional to 341,535.38 and 509,531.63 is: 760,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,535.38 : 509,531.63 = 509,531.63 : x
  2. Step 2: Convert to fraction form
    341,535.38/509,531.63 = 509,531.63/x
  3. Step 3: Cross multiply
    341,535.38x = 509,531.63 × 509,531.63
  4. Step 4: Simplify right side
    341,535.38x = 259,622,476,875.14
  5. Step 5: Solve for x
    x = 259,622,476,875.14/341,535.38
  6. Step 6: Final answer
    x = 760,162.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.