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Finding the Third Proportional to 455,314 and 668,209

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Solution

The third proportional to 455,314 and 668,209 is: 980,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,314 : 668,209 = 668,209 : x
  2. Step 2: Convert to fraction form
    455,314/668,209 = 668,209/x
  3. Step 3: Cross multiply
    455,314x = 668,209 × 668,209
  4. Step 4: Simplify right side
    455,314x = 446,503,267,681
  5. Step 5: Solve for x
    x = 446,503,267,681/455,314
  6. Step 6: Final answer
    x = 980,649.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.