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Finding the Third Proportional to 417,007.50 and 893,064

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Solution

The third proportional to 417,007.50 and 893,064 is: 1,912,587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,007.50 : 893,064 = 893,064 : x
  2. Step 2: Convert to fraction form
    417,007.50/893,064 = 893,064/x
  3. Step 3: Cross multiply
    417,007.50x = 893,064 × 893,064
  4. Step 4: Simplify right side
    417,007.50x = 797,563,308,096
  5. Step 5: Solve for x
    x = 797,563,308,096/417,007.50
  6. Step 6: Final answer
    x = 1,912,587.44

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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.