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Finding the Third Proportional to 476,190 and 719,145

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Solution

The third proportional to 476,190 and 719,145 is: 1,086,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,190 : 719,145 = 719,145 : x
  2. Step 2: Convert to fraction form
    476,190/719,145 = 719,145/x
  3. Step 3: Cross multiply
    476,190x = 719,145 × 719,145
  4. Step 4: Simplify right side
    476,190x = 517,169,531,025
  5. Step 5: Solve for x
    x = 517,169,531,025/476,190
  6. Step 6: Final answer
    x = 1,086,057.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.