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Finding the Third Proportional to 287,458.50 and 604,706.25

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Solution

The third proportional to 287,458.50 and 604,706.25 is: 1,272,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,458.50 : 604,706.25 = 604,706.25 : x
  2. Step 2: Convert to fraction form
    287,458.50/604,706.25 = 604,706.25/x
  3. Step 3: Cross multiply
    287,458.50x = 604,706.25 × 604,706.25
  4. Step 4: Simplify right side
    287,458.50x = 365,669,648,789.06
  5. Step 5: Solve for x
    x = 365,669,648,789.06/287,458.50
  6. Step 6: Final answer
    x = 1,272,078.05

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.