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Finding the Third Proportional to 262,921 and 429,283.50

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Solution

The third proportional to 262,921 and 429,283.50 is: 700,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,921 : 429,283.50 = 429,283.50 : x
  2. Step 2: Convert to fraction form
    262,921/429,283.50 = 429,283.50/x
  3. Step 3: Cross multiply
    262,921x = 429,283.50 × 429,283.50
  4. Step 4: Simplify right side
    262,921x = 184,284,323,372.25
  5. Step 5: Solve for x
    x = 184,284,323,372.25/262,921
  6. Step 6: Final answer
    x = 700,911.39

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.