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Finding the Third Proportional to 563,784 and 773,100

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Solution

The third proportional to 563,784 and 773,100 is: 1,060,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,784 : 773,100 = 773,100 : x
  2. Step 2: Convert to fraction form
    563,784/773,100 = 773,100/x
  3. Step 3: Cross multiply
    563,784x = 773,100 × 773,100
  4. Step 4: Simplify right side
    563,784x = 597,683,610,000
  5. Step 5: Solve for x
    x = 597,683,610,000/563,784
  6. Step 6: Final answer
    x = 1,060,128.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.