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Finding the Third Proportional to 356,004 and 480,546

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Solution

The third proportional to 356,004 and 480,546 is: 648,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,004 : 480,546 = 480,546 : x
  2. Step 2: Convert to fraction form
    356,004/480,546 = 480,546/x
  3. Step 3: Cross multiply
    356,004x = 480,546 × 480,546
  4. Step 4: Simplify right side
    356,004x = 230,924,458,116
  5. Step 5: Solve for x
    x = 230,924,458,116/356,004
  6. Step 6: Final answer
    x = 648,656.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.