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Finding the Third Proportional to 429,565.50 and 848,290.50

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Solution

The third proportional to 429,565.50 and 848,290.50 is: 1,675,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,565.50 : 848,290.50 = 848,290.50 : x
  2. Step 2: Convert to fraction form
    429,565.50/848,290.50 = 848,290.50/x
  3. Step 3: Cross multiply
    429,565.50x = 848,290.50 × 848,290.50
  4. Step 4: Simplify right side
    429,565.50x = 719,596,772,390.25
  5. Step 5: Solve for x
    x = 719,596,772,390.25/429,565.50
  6. Step 6: Final answer
    x = 1,675,173.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.