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Finding the Third Proportional to 590,903 and 970,804.50

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Solution

The third proportional to 590,903 and 970,804.50 is: 1,594,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,903 : 970,804.50 = 970,804.50 : x
  2. Step 2: Convert to fraction form
    590,903/970,804.50 = 970,804.50/x
  3. Step 3: Cross multiply
    590,903x = 970,804.50 × 970,804.50
  4. Step 4: Simplify right side
    590,903x = 942,461,377,220.25
  5. Step 5: Solve for x
    x = 942,461,377,220.25/590,903
  6. Step 6: Final answer
    x = 1,594,951.08

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.