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Finding the Third Proportional to 305,490 and 670,752

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Solution

The third proportional to 305,490 and 670,752 is: 1,472,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,490 : 670,752 = 670,752 : x
  2. Step 2: Convert to fraction form
    305,490/670,752 = 670,752/x
  3. Step 3: Cross multiply
    305,490x = 670,752 × 670,752
  4. Step 4: Simplify right side
    305,490x = 449,908,245,504
  5. Step 5: Solve for x
    x = 449,908,245,504/305,490
  6. Step 6: Final answer
    x = 1,472,742.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.