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Finding the Third Proportional to 402,893.25 and 604,339.88

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Solution

The third proportional to 402,893.25 and 604,339.88 is: 906,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,893.25 : 604,339.88 = 604,339.88 : x
  2. Step 2: Convert to fraction form
    402,893.25/604,339.88 = 604,339.88/x
  3. Step 3: Cross multiply
    402,893.25x = 604,339.88 × 604,339.88
  4. Step 4: Simplify right side
    402,893.25x = 365,226,684,515.02
  5. Step 5: Solve for x
    x = 365,226,684,515.02/402,893.25
  6. Step 6: Final answer
    x = 906,509.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.