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Finding the Third Proportional to 319,925 and 700,114

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Solution

The third proportional to 319,925 and 700,114 is: 1,532,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,925 : 700,114 = 700,114 : x
  2. Step 2: Convert to fraction form
    319,925/700,114 = 700,114/x
  3. Step 3: Cross multiply
    319,925x = 700,114 × 700,114
  4. Step 4: Simplify right side
    319,925x = 490,159,612,996
  5. Step 5: Solve for x
    x = 490,159,612,996/319,925
  6. Step 6: Final answer
    x = 1,532,107.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.