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Finding the Third Proportional to 245,614 and 379,275

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Solution

The third proportional to 245,614 and 379,275 is: 585,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,614 : 379,275 = 379,275 : x
  2. Step 2: Convert to fraction form
    245,614/379,275 = 379,275/x
  3. Step 3: Cross multiply
    245,614x = 379,275 × 379,275
  4. Step 4: Simplify right side
    245,614x = 143,849,525,625
  5. Step 5: Solve for x
    x = 143,849,525,625/245,614
  6. Step 6: Final answer
    x = 585,673.15

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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.