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Finding the Third Proportional to 318,580 and 695,114

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Solution

The third proportional to 318,580 and 695,114 is: 1,516,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,580 : 695,114 = 695,114 : x
  2. Step 2: Convert to fraction form
    318,580/695,114 = 695,114/x
  3. Step 3: Cross multiply
    318,580x = 695,114 × 695,114
  4. Step 4: Simplify right side
    318,580x = 483,183,472,996
  5. Step 5: Solve for x
    x = 483,183,472,996/318,580
  6. Step 6: Final answer
    x = 1,516,678.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.