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Finding the Third Proportional to 307,310 and 670,656

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Solution

The third proportional to 307,310 and 670,656 is: 1,463,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,310 : 670,656 = 670,656 : x
  2. Step 2: Convert to fraction form
    307,310/670,656 = 670,656/x
  3. Step 3: Cross multiply
    307,310x = 670,656 × 670,656
  4. Step 4: Simplify right side
    307,310x = 449,779,470,336
  5. Step 5: Solve for x
    x = 449,779,470,336/307,310
  6. Step 6: Final answer
    x = 1,463,601.80

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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.