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Finding the Third Proportional to 577,359 and 831,661.50

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Solution

The third proportional to 577,359 and 831,661.50 is: 1,197,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,359 : 831,661.50 = 831,661.50 : x
  2. Step 2: Convert to fraction form
    577,359/831,661.50 = 831,661.50/x
  3. Step 3: Cross multiply
    577,359x = 831,661.50 × 831,661.50
  4. Step 4: Simplify right side
    577,359x = 691,660,850,582.25
  5. Step 5: Solve for x
    x = 691,660,850,582.25/577,359
  6. Step 6: Final answer
    x = 1,197,973.62

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.