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Finding the Third Proportional to 560,056 and 860,820

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Solution

The third proportional to 560,056 and 860,820 is: 1,323,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,056 : 860,820 = 860,820 : x
  2. Step 2: Convert to fraction form
    560,056/860,820 = 860,820/x
  3. Step 3: Cross multiply
    560,056x = 860,820 × 860,820
  4. Step 4: Simplify right side
    560,056x = 741,011,072,400
  5. Step 5: Solve for x
    x = 741,011,072,400/560,056
  6. Step 6: Final answer
    x = 1,323,101.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.