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Finding the Third Proportional to 564,869 and 860,534

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Solution

The third proportional to 564,869 and 860,534 is: 1,310,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,869 : 860,534 = 860,534 : x
  2. Step 2: Convert to fraction form
    564,869/860,534 = 860,534/x
  3. Step 3: Cross multiply
    564,869x = 860,534 × 860,534
  4. Step 4: Simplify right side
    564,869x = 740,518,765,156
  5. Step 5: Solve for x
    x = 740,518,765,156/564,869
  6. Step 6: Final answer
    x = 1,310,956.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.