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Finding the Third Proportional to 560,864 and 847,984

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Solution

The third proportional to 560,864 and 847,984 is: 1,282,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,864 : 847,984 = 847,984 : x
  2. Step 2: Convert to fraction form
    560,864/847,984 = 847,984/x
  3. Step 3: Cross multiply
    560,864x = 847,984 × 847,984
  4. Step 4: Simplify right side
    560,864x = 719,076,864,256
  5. Step 5: Solve for x
    x = 719,076,864,256/560,864
  6. Step 6: Final answer
    x = 1,282,087.75

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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.