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Finding the Third Proportional to 302,365 and 662,018

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Solution

The third proportional to 302,365 and 662,018 is: 1,449,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,365 : 662,018 = 662,018 : x
  2. Step 2: Convert to fraction form
    302,365/662,018 = 662,018/x
  3. Step 3: Cross multiply
    302,365x = 662,018 × 662,018
  4. Step 4: Simplify right side
    302,365x = 438,267,832,324
  5. Step 5: Solve for x
    x = 438,267,832,324/302,365
  6. Step 6: Final answer
    x = 1,449,466.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.