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Finding the Third Proportional to 560,848 and 847,960

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Solution

The third proportional to 560,848 and 847,960 is: 1,282,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,848 : 847,960 = 847,960 : x
  2. Step 2: Convert to fraction form
    560,848/847,960 = 847,960/x
  3. Step 3: Cross multiply
    560,848x = 847,960 × 847,960
  4. Step 4: Simplify right side
    560,848x = 719,036,161,600
  5. Step 5: Solve for x
    x = 719,036,161,600/560,848
  6. Step 6: Final answer
    x = 1,282,051.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.