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Finding the Third Proportional to 319,410 and 479,124

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Solution

The third proportional to 319,410 and 479,124 is: 718,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,410 : 479,124 = 479,124 : x
  2. Step 2: Convert to fraction form
    319,410/479,124 = 479,124/x
  3. Step 3: Cross multiply
    319,410x = 479,124 × 479,124
  4. Step 4: Simplify right side
    319,410x = 229,559,807,376
  5. Step 5: Solve for x
    x = 229,559,807,376/319,410
  6. Step 6: Final answer
    x = 718,699.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.