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Finding the Third Proportional to 311,070 and 460,041

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Solution

The third proportional to 311,070 and 460,041 is: 680,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,070 : 460,041 = 460,041 : x
  2. Step 2: Convert to fraction form
    311,070/460,041 = 460,041/x
  3. Step 3: Cross multiply
    311,070x = 460,041 × 460,041
  4. Step 4: Simplify right side
    311,070x = 211,637,721,681
  5. Step 5: Solve for x
    x = 211,637,721,681/311,070
  6. Step 6: Final answer
    x = 680,354.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.