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Finding the Third Proportional to 426,579 and 644,404.13

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Solution

The third proportional to 426,579 and 644,404.13 is: 973,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,579 : 644,404.13 = 644,404.13 : x
  2. Step 2: Convert to fraction form
    426,579/644,404.13 = 644,404.13/x
  3. Step 3: Cross multiply
    426,579x = 644,404.13 × 644,404.13
  4. Step 4: Simplify right side
    426,579x = 415,256,676,317.02
  5. Step 5: Solve for x
    x = 415,256,676,317.02/426,579
  6. Step 6: Final answer
    x = 973,457.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.