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Finding the Third Proportional to 563,519 and 825,048.50

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Solution

The third proportional to 563,519 and 825,048.50 is: 1,207,954.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,519 : 825,048.50 = 825,048.50 : x
  2. Step 2: Convert to fraction form
    563,519/825,048.50 = 825,048.50/x
  3. Step 3: Cross multiply
    563,519x = 825,048.50 × 825,048.50
  4. Step 4: Simplify right side
    563,519x = 680,705,027,352.25
  5. Step 5: Solve for x
    x = 680,705,027,352.25/563,519
  6. Step 6: Final answer
    x = 1,207,954.00

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