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Finding the Third Proportional to 287,010 and 446,917.50

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Solution

The third proportional to 287,010 and 446,917.50 is: 695,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,010 : 446,917.50 = 446,917.50 : x
  2. Step 2: Convert to fraction form
    287,010/446,917.50 = 446,917.50/x
  3. Step 3: Cross multiply
    287,010x = 446,917.50 × 446,917.50
  4. Step 4: Simplify right side
    287,010x = 199,735,251,806.25
  5. Step 5: Solve for x
    x = 199,735,251,806.25/287,010
  6. Step 6: Final answer
    x = 695,917.40

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.