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Finding the Third Proportional to 286,020 and 420,768

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Solution

The third proportional to 286,020 and 420,768 is: 618,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,020 : 420,768 = 420,768 : x
  2. Step 2: Convert to fraction form
    286,020/420,768 = 420,768/x
  3. Step 3: Cross multiply
    286,020x = 420,768 × 420,768
  4. Step 4: Simplify right side
    286,020x = 177,045,709,824
  5. Step 5: Solve for x
    x = 177,045,709,824/286,020
  6. Step 6: Final answer
    x = 618,997.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.