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Finding the Third Proportional to 610,435.50 and 898,005

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Solution

The third proportional to 610,435.50 and 898,005 is: 1,321,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,435.50 : 898,005 = 898,005 : x
  2. Step 2: Convert to fraction form
    610,435.50/898,005 = 898,005/x
  3. Step 3: Cross multiply
    610,435.50x = 898,005 × 898,005
  4. Step 4: Simplify right side
    610,435.50x = 806,412,980,025
  5. Step 5: Solve for x
    x = 806,412,980,025/610,435.50
  6. Step 6: Final answer
    x = 1,321,045.35

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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.