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Finding the Third Proportional to 319,764 and 492,078

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Solution

The third proportional to 319,764 and 492,078 is: 757,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,764 : 492,078 = 492,078 : x
  2. Step 2: Convert to fraction form
    319,764/492,078 = 492,078/x
  3. Step 3: Cross multiply
    319,764x = 492,078 × 492,078
  4. Step 4: Simplify right side
    319,764x = 242,140,758,084
  5. Step 5: Solve for x
    x = 242,140,758,084/319,764
  6. Step 6: Final answer
    x = 757,248.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.