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Finding the Third Proportional to 554,768 and 812,404

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Solution

The third proportional to 554,768 and 812,404 is: 1,189,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,768 : 812,404 = 812,404 : x
  2. Step 2: Convert to fraction form
    554,768/812,404 = 812,404/x
  3. Step 3: Cross multiply
    554,768x = 812,404 × 812,404
  4. Step 4: Simplify right side
    554,768x = 660,000,259,216
  5. Step 5: Solve for x
    x = 660,000,259,216/554,768
  6. Step 6: Final answer
    x = 1,189,686.97

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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.