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Finding the Third Proportional to 302,374 and 662,036

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Solution

The third proportional to 302,374 and 662,036 is: 1,449,501.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,374 : 662,036 = 662,036 : x
  2. Step 2: Convert to fraction form
    302,374/662,036 = 662,036/x
  3. Step 3: Cross multiply
    302,374x = 662,036 × 662,036
  4. Step 4: Simplify right side
    302,374x = 438,291,665,296
  5. Step 5: Solve for x
    x = 438,291,665,296/302,374
  6. Step 6: Final answer
    x = 1,449,501.83

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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.