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Finding the Third Proportional to 429.36 and 577.60

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Solution

The third proportional to 429.36 and 577.60 is: 777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.36 : 577.60 = 577.60 : x
  2. Step 2: Convert to fraction form
    429.36/577.60 = 577.60/x
  3. Step 3: Cross multiply
    429.36x = 577.60 × 577.60
  4. Step 4: Simplify right side
    429.36x = 333,621.31
  5. Step 5: Solve for x
    x = 333,621.31/429.36
  6. Step 6: Final answer
    x = 777.01

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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.