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Finding the Third Proportional to 414,315 and 608,350.50

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Solution

The third proportional to 414,315 and 608,350.50 is: 893,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,315 : 608,350.50 = 608,350.50 : x
  2. Step 2: Convert to fraction form
    414,315/608,350.50 = 608,350.50/x
  3. Step 3: Cross multiply
    414,315x = 608,350.50 × 608,350.50
  4. Step 4: Simplify right side
    414,315x = 370,090,330,850.25
  5. Step 5: Solve for x
    x = 370,090,330,850.25/414,315
  6. Step 6: Final answer
    x = 893,258.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.