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Finding the Third Proportional to 233,426 and 360,491

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Solution

The third proportional to 233,426 and 360,491 is: 556,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,426 : 360,491 = 360,491 : x
  2. Step 2: Convert to fraction form
    233,426/360,491 = 360,491/x
  3. Step 3: Cross multiply
    233,426x = 360,491 × 360,491
  4. Step 4: Simplify right side
    233,426x = 129,953,761,081
  5. Step 5: Solve for x
    x = 129,953,761,081/233,426
  6. Step 6: Final answer
    x = 556,723.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.