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Finding the Third Proportional to 429,577 and 848,312

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Solution

The third proportional to 429,577 and 848,312 is: 1,675,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,577 : 848,312 = 848,312 : x
  2. Step 2: Convert to fraction form
    429,577/848,312 = 848,312/x
  3. Step 3: Cross multiply
    429,577x = 848,312 × 848,312
  4. Step 4: Simplify right side
    429,577x = 719,633,249,344
  5. Step 5: Solve for x
    x = 719,633,249,344/429,577
  6. Step 6: Final answer
    x = 1,675,213.64

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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.