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Finding the Third Proportional to 310,856 and 677,920

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Solution

The third proportional to 310,856 and 677,920 is: 1,478,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,856 : 677,920 = 677,920 : x
  2. Step 2: Convert to fraction form
    310,856/677,920 = 677,920/x
  3. Step 3: Cross multiply
    310,856x = 677,920 × 677,920
  4. Step 4: Simplify right side
    310,856x = 459,575,526,400
  5. Step 5: Solve for x
    x = 459,575,526,400/310,856
  6. Step 6: Final answer
    x = 1,478,419.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.