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Finding the Third Proportional to 406,514 and 612,768

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Solution

The third proportional to 406,514 and 612,768 is: 923,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,514 : 612,768 = 612,768 : x
  2. Step 2: Convert to fraction form
    406,514/612,768 = 612,768/x
  3. Step 3: Cross multiply
    406,514x = 612,768 × 612,768
  4. Step 4: Simplify right side
    406,514x = 375,484,621,824
  5. Step 5: Solve for x
    x = 375,484,621,824/406,514
  6. Step 6: Final answer
    x = 923,669.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.