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Finding the Third Proportional to 287,552.25 and 604,851.75

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Solution

The third proportional to 287,552.25 and 604,851.75 is: 1,272,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,552.25 : 604,851.75 = 604,851.75 : x
  2. Step 2: Convert to fraction form
    287,552.25/604,851.75 = 604,851.75/x
  3. Step 3: Cross multiply
    287,552.25x = 604,851.75 × 604,851.75
  4. Step 4: Simplify right side
    287,552.25x = 365,845,639,478.06
  5. Step 5: Solve for x
    x = 365,845,639,478.06/287,552.25
  6. Step 6: Final answer
    x = 1,272,275.35

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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.