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Finding the Third Proportional to 429,300 and 660,150

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Solution

The third proportional to 429,300 and 660,150 is: 1,015,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,300 : 660,150 = 660,150 : x
  2. Step 2: Convert to fraction form
    429,300/660,150 = 660,150/x
  3. Step 3: Cross multiply
    429,300x = 660,150 × 660,150
  4. Step 4: Simplify right side
    429,300x = 435,798,022,500
  5. Step 5: Solve for x
    x = 435,798,022,500/429,300
  6. Step 6: Final answer
    x = 1,015,136.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.