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Finding the Third Proportional to 414,094.50 and 893,430

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Solution

The third proportional to 414,094.50 and 893,430 is: 1,927,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,094.50 : 893,430 = 893,430 : x
  2. Step 2: Convert to fraction form
    414,094.50/893,430 = 893,430/x
  3. Step 3: Cross multiply
    414,094.50x = 893,430 × 893,430
  4. Step 4: Simplify right side
    414,094.50x = 798,217,164,900
  5. Step 5: Solve for x
    x = 798,217,164,900/414,094.50
  6. Step 6: Final answer
    x = 1,927,620.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.