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Finding the Third Proportional to 563,520 and 835,968

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Solution

The third proportional to 563,520 and 835,968 is: 1,240,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,520 : 835,968 = 835,968 : x
  2. Step 2: Convert to fraction form
    563,520/835,968 = 835,968/x
  3. Step 3: Cross multiply
    563,520x = 835,968 × 835,968
  4. Step 4: Simplify right side
    563,520x = 698,842,497,024
  5. Step 5: Solve for x
    x = 698,842,497,024/563,520
  6. Step 6: Final answer
    x = 1,240,137.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.