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Finding the Third Proportional to 383,310 and 590,957

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Solution

The third proportional to 383,310 and 590,957 is: 911,090.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,310 : 590,957 = 590,957 : x
  2. Step 2: Convert to fraction form
    383,310/590,957 = 590,957/x
  3. Step 3: Cross multiply
    383,310x = 590,957 × 590,957
  4. Step 4: Simplify right side
    383,310x = 349,230,175,849
  5. Step 5: Solve for x
    x = 349,230,175,849/383,310
  6. Step 6: Final answer
    x = 911,090.70

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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.