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Finding the Third Proportional to 417,006.50 and 893,062

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Solution

The third proportional to 417,006.50 and 893,062 is: 1,912,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,006.50 : 893,062 = 893,062 : x
  2. Step 2: Convert to fraction form
    417,006.50/893,062 = 893,062/x
  3. Step 3: Cross multiply
    417,006.50x = 893,062 × 893,062
  4. Step 4: Simplify right side
    417,006.50x = 797,559,735,844
  5. Step 5: Solve for x
    x = 797,559,735,844/417,006.50
  6. Step 6: Final answer
    x = 1,912,583.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.