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Finding the Third Proportional to 301,236 and 652,060

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Solution

The third proportional to 301,236 and 652,060 is: 1,411,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,236 : 652,060 = 652,060 : x
  2. Step 2: Convert to fraction form
    301,236/652,060 = 652,060/x
  3. Step 3: Cross multiply
    301,236x = 652,060 × 652,060
  4. Step 4: Simplify right side
    301,236x = 425,182,243,600
  5. Step 5: Solve for x
    x = 425,182,243,600/301,236
  6. Step 6: Final answer
    x = 1,411,458.93

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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.