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Finding the Third Proportional to 488,946.38 and 778,010.06

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Solution

The third proportional to 488,946.38 and 778,010.06 is: 1,237,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,946.38 : 778,010.06 = 778,010.06 : x
  2. Step 2: Convert to fraction form
    488,946.38/778,010.06 = 778,010.06/x
  3. Step 3: Cross multiply
    488,946.38x = 778,010.06 × 778,010.06
  4. Step 4: Simplify right side
    488,946.38x = 605,299,657,351.25
  5. Step 5: Solve for x
    x = 605,299,657,351.25/488,946.38
  6. Step 6: Final answer
    x = 1,237,967.37

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.