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Finding the Third Proportional to 563,296.50 and 864,628.50

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Solution

The third proportional to 563,296.50 and 864,628.50 is: 1,327,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,296.50 : 864,628.50 = 864,628.50 : x
  2. Step 2: Convert to fraction form
    563,296.50/864,628.50 = 864,628.50/x
  3. Step 3: Cross multiply
    563,296.50x = 864,628.50 × 864,628.50
  4. Step 4: Simplify right side
    563,296.50x = 747,582,443,012.25
  5. Step 5: Solve for x
    x = 747,582,443,012.25/563,296.50
  6. Step 6: Final answer
    x = 1,327,156.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.