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Finding the Third Proportional to 233,426 and 360,504

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Solution

The third proportional to 233,426 and 360,504 is: 556,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,426 : 360,504 = 360,504 : x
  2. Step 2: Convert to fraction form
    233,426/360,504 = 360,504/x
  3. Step 3: Cross multiply
    233,426x = 360,504 × 360,504
  4. Step 4: Simplify right side
    233,426x = 129,963,134,016
  5. Step 5: Solve for x
    x = 129,963,134,016/233,426
  6. Step 6: Final answer
    x = 556,763.75

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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.