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Finding the Third Proportional to 295,044 and 640,044

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Solution

The third proportional to 295,044 and 640,044 is: 1,388,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,044 : 640,044 = 640,044 : x
  2. Step 2: Convert to fraction form
    295,044/640,044 = 640,044/x
  3. Step 3: Cross multiply
    295,044x = 640,044 × 640,044
  4. Step 4: Simplify right side
    295,044x = 409,656,321,936
  5. Step 5: Solve for x
    x = 409,656,321,936/295,044
  6. Step 6: Final answer
    x = 1,388,458.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.