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Finding the Third Proportional to 245,888 and 379,752

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Solution

The third proportional to 245,888 and 379,752 is: 586,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,888 : 379,752 = 379,752 : x
  2. Step 2: Convert to fraction form
    245,888/379,752 = 379,752/x
  3. Step 3: Cross multiply
    245,888x = 379,752 × 379,752
  4. Step 4: Simplify right side
    245,888x = 144,211,581,504
  5. Step 5: Solve for x
    x = 144,211,581,504/245,888
  6. Step 6: Final answer
    x = 586,492.96

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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.