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Finding the Third Proportional to 473,622.19 and 729,116.44

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Solution

The third proportional to 473,622.19 and 729,116.44 is: 1,122,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,622.19 : 729,116.44 = 729,116.44 : x
  2. Step 2: Convert to fraction form
    473,622.19/729,116.44 = 729,116.44/x
  3. Step 3: Cross multiply
    473,622.19x = 729,116.44 × 729,116.44
  4. Step 4: Simplify right side
    473,622.19x = 531,610,779,432.69
  5. Step 5: Solve for x
    x = 531,610,779,432.69/473,622.19
  6. Step 6: Final answer
    x = 1,122,436.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.