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Finding the Third Proportional to 316,252 and 677,702

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Solution

The third proportional to 316,252 and 677,702 is: 1,452,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,252 : 677,702 = 677,702 : x
  2. Step 2: Convert to fraction form
    316,252/677,702 = 677,702/x
  3. Step 3: Cross multiply
    316,252x = 677,702 × 677,702
  4. Step 4: Simplify right side
    316,252x = 459,280,000,804
  5. Step 5: Solve for x
    x = 459,280,000,804/316,252
  6. Step 6: Final answer
    x = 1,452,259.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.