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Finding the Third Proportional to 411,153 and 632,779.50

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Solution

The third proportional to 411,153 and 632,779.50 is: 973,870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,153 : 632,779.50 = 632,779.50 : x
  2. Step 2: Convert to fraction form
    411,153/632,779.50 = 632,779.50/x
  3. Step 3: Cross multiply
    411,153x = 632,779.50 × 632,779.50
  4. Step 4: Simplify right side
    411,153x = 400,409,895,620.25
  5. Step 5: Solve for x
    x = 400,409,895,620.25/411,153
  6. Step 6: Final answer
    x = 973,870.79

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