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Finding the Third Proportional to 583,671 and 788,890.50

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Solution

The third proportional to 583,671 and 788,890.50 is: 1,066,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,671 : 788,890.50 = 788,890.50 : x
  2. Step 2: Convert to fraction form
    583,671/788,890.50 = 788,890.50/x
  3. Step 3: Cross multiply
    583,671x = 788,890.50 × 788,890.50
  4. Step 4: Simplify right side
    583,671x = 622,348,220,990.25
  5. Step 5: Solve for x
    x = 622,348,220,990.25/583,671
  6. Step 6: Final answer
    x = 1,066,265.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.