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Finding the Third Proportional to 550,410 and 842,023.50

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Solution

The third proportional to 550,410 and 842,023.50 is: 1,288,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,410 : 842,023.50 = 842,023.50 : x
  2. Step 2: Convert to fraction form
    550,410/842,023.50 = 842,023.50/x
  3. Step 3: Cross multiply
    550,410x = 842,023.50 × 842,023.50
  4. Step 4: Simplify right side
    550,410x = 709,003,574,552.25
  5. Step 5: Solve for x
    x = 709,003,574,552.25/550,410
  6. Step 6: Final answer
    x = 1,288,137.16

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.