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Finding the Third Proportional to 301,008 and 652,455

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Solution

The third proportional to 301,008 and 652,455 is: 1,414,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,008 : 652,455 = 652,455 : x
  2. Step 2: Convert to fraction form
    301,008/652,455 = 652,455/x
  3. Step 3: Cross multiply
    301,008x = 652,455 × 652,455
  4. Step 4: Simplify right side
    301,008x = 425,697,527,025
  5. Step 5: Solve for x
    x = 425,697,527,025/301,008
  6. Step 6: Final answer
    x = 1,414,239.91

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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.