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Finding the Third Proportional to 245,640 and 379,310

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Solution

The third proportional to 245,640 and 379,310 is: 585,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,640 : 379,310 = 379,310 : x
  2. Step 2: Convert to fraction form
    245,640/379,310 = 379,310/x
  3. Step 3: Cross multiply
    245,640x = 379,310 × 379,310
  4. Step 4: Simplify right side
    245,640x = 143,876,076,100
  5. Step 5: Solve for x
    x = 143,876,076,100/245,640
  6. Step 6: Final answer
    x = 585,719.25

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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.