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Finding the Third Proportional to 577,917 and 920,389.50

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Solution

The third proportional to 577,917 and 920,389.50 is: 1,465,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,917 : 920,389.50 = 920,389.50 : x
  2. Step 2: Convert to fraction form
    577,917/920,389.50 = 920,389.50/x
  3. Step 3: Cross multiply
    577,917x = 920,389.50 × 920,389.50
  4. Step 4: Simplify right side
    577,917x = 847,116,831,710.25
  5. Step 5: Solve for x
    x = 847,116,831,710.25/577,917
  6. Step 6: Final answer
    x = 1,465,810.54

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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.