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Finding the Third Proportional to 301,242 and 652,074

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Solution

The third proportional to 301,242 and 652,074 is: 1,411,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,242 : 652,074 = 652,074 : x
  2. Step 2: Convert to fraction form
    301,242/652,074 = 652,074/x
  3. Step 3: Cross multiply
    301,242x = 652,074 × 652,074
  4. Step 4: Simplify right side
    301,242x = 425,200,501,476
  5. Step 5: Solve for x
    x = 425,200,501,476/301,242
  6. Step 6: Final answer
    x = 1,411,491.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.