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Finding the Third Proportional to 563,518 and 825,047

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Solution

The third proportional to 563,518 and 825,047 is: 1,207,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,518 : 825,047 = 825,047 : x
  2. Step 2: Convert to fraction form
    563,518/825,047 = 825,047/x
  3. Step 3: Cross multiply
    563,518x = 825,047 × 825,047
  4. Step 4: Simplify right side
    563,518x = 680,702,552,209
  5. Step 5: Solve for x
    x = 680,702,552,209/563,518
  6. Step 6: Final answer
    x = 1,207,951.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.