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Finding the Third Proportional to 233,430 and 360,497

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Solution

The third proportional to 233,430 and 360,497 is: 556,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,430 : 360,497 = 360,497 : x
  2. Step 2: Convert to fraction form
    233,430/360,497 = 360,497/x
  3. Step 3: Cross multiply
    233,430x = 360,497 × 360,497
  4. Step 4: Simplify right side
    233,430x = 129,958,087,009
  5. Step 5: Solve for x
    x = 129,958,087,009/233,430
  6. Step 6: Final answer
    x = 556,732.58

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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.