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Finding the Third Proportional to 313,064 and 676,152

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Solution

The third proportional to 313,064 and 676,152 is: 1,460,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,064 : 676,152 = 676,152 : x
  2. Step 2: Convert to fraction form
    313,064/676,152 = 676,152/x
  3. Step 3: Cross multiply
    313,064x = 676,152 × 676,152
  4. Step 4: Simplify right side
    313,064x = 457,181,527,104
  5. Step 5: Solve for x
    x = 457,181,527,104/313,064
  6. Step 6: Final answer
    x = 1,460,345.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.