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Finding the Third Proportional to 245,851.88 and 379,696.50

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Solution

The third proportional to 245,851.88 and 379,696.50 is: 586,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,851.88 : 379,696.50 = 379,696.50 : x
  2. Step 2: Convert to fraction form
    245,851.88/379,696.50 = 379,696.50/x
  3. Step 3: Cross multiply
    245,851.88x = 379,696.50 × 379,696.50
  4. Step 4: Simplify right side
    245,851.88x = 144,169,432,112.25
  5. Step 5: Solve for x
    x = 144,169,432,112.25/245,851.88
  6. Step 6: Final answer
    x = 586,407.70

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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.