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Finding the Third Proportional to 467,329 and 700,209

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Solution

The third proportional to 467,329 and 700,209 is: 1,049,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,329 : 700,209 = 700,209 : x
  2. Step 2: Convert to fraction form
    467,329/700,209 = 700,209/x
  3. Step 3: Cross multiply
    467,329x = 700,209 × 700,209
  4. Step 4: Simplify right side
    467,329x = 490,292,643,681
  5. Step 5: Solve for x
    x = 490,292,643,681/467,329
  6. Step 6: Final answer
    x = 1,049,138.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.