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Finding the Third Proportional to 245,867 and 370,532

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Solution

The third proportional to 245,867 and 370,532 is: 558,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,867 : 370,532 = 370,532 : x
  2. Step 2: Convert to fraction form
    245,867/370,532 = 370,532/x
  3. Step 3: Cross multiply
    245,867x = 370,532 × 370,532
  4. Step 4: Simplify right side
    245,867x = 137,293,963,024
  5. Step 5: Solve for x
    x = 137,293,963,024/245,867
  6. Step 6: Final answer
    x = 558,407.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.