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Finding the Third Proportional to 229,860.50 and 487,364

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Solution

The third proportional to 229,860.50 and 487,364 is: 1,033,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,860.50 : 487,364 = 487,364 : x
  2. Step 2: Convert to fraction form
    229,860.50/487,364 = 487,364/x
  3. Step 3: Cross multiply
    229,860.50x = 487,364 × 487,364
  4. Step 4: Simplify right side
    229,860.50x = 237,523,668,496
  5. Step 5: Solve for x
    x = 237,523,668,496/229,860.50
  6. Step 6: Final answer
    x = 1,033,338.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.