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Finding the Third Proportional to 566,910 and 877,750

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Solution

The third proportional to 566,910 and 877,750 is: 1,359,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,910 : 877,750 = 877,750 : x
  2. Step 2: Convert to fraction form
    566,910/877,750 = 877,750/x
  3. Step 3: Cross multiply
    566,910x = 877,750 × 877,750
  4. Step 4: Simplify right side
    566,910x = 770,445,062,500
  5. Step 5: Solve for x
    x = 770,445,062,500/566,910
  6. Step 6: Final answer
    x = 1,359,025.35

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Why These Related Problems?

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