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Finding the Third Proportional to 416,130 and 609,378

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Solution

The third proportional to 416,130 and 609,378 is: 892,369.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,130 : 609,378 = 609,378 : x
  2. Step 2: Convert to fraction form
    416,130/609,378 = 609,378/x
  3. Step 3: Cross multiply
    416,130x = 609,378 × 609,378
  4. Step 4: Simplify right side
    416,130x = 371,341,546,884
  5. Step 5: Solve for x
    x = 371,341,546,884/416,130
  6. Step 6: Final answer
    x = 892,369.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.