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Finding the Third Proportional to 450,321 and 696,520

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Solution

The third proportional to 450,321 and 696,520 is: 1,077,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,321 : 696,520 = 696,520 : x
  2. Step 2: Convert to fraction form
    450,321/696,520 = 696,520/x
  3. Step 3: Cross multiply
    450,321x = 696,520 × 696,520
  4. Step 4: Simplify right side
    450,321x = 485,140,110,400
  5. Step 5: Solve for x
    x = 485,140,110,400/450,321
  6. Step 6: Final answer
    x = 1,077,320.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.