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Finding the Third Proportional to 491,316.50 and 1,041,680.50

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Solution

The third proportional to 491,316.50 and 1,041,680.50 is: 2,208,552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,316.50 : 1,041,680.50 = 1,041,680.50 : x
  2. Step 2: Convert to fraction form
    491,316.50/1,041,680.50 = 1,041,680.50/x
  3. Step 3: Cross multiply
    491,316.50x = 1,041,680.50 × 1,041,680.50
  4. Step 4: Simplify right side
    491,316.50x = 1,085,098,264,080.25
  5. Step 5: Solve for x
    x = 1,085,098,264,080.25/491,316.50
  6. Step 6: Final answer
    x = 2,208,552.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.