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Finding the Third Proportional to 534,740 and 778,032.50

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Solution

The third proportional to 534,740 and 778,032.50 is: 1,132,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,740 : 778,032.50 = 778,032.50 : x
  2. Step 2: Convert to fraction form
    534,740/778,032.50 = 778,032.50/x
  3. Step 3: Cross multiply
    534,740x = 778,032.50 × 778,032.50
  4. Step 4: Simplify right side
    534,740x = 605,334,571,056.25
  5. Step 5: Solve for x
    x = 605,334,571,056.25/534,740
  6. Step 6: Final answer
    x = 1,132,016.63

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.