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Finding the Third Proportional to 339,973 and 500,037

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Solution

The third proportional to 339,973 and 500,037 is: 735,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,973 : 500,037 = 500,037 : x
  2. Step 2: Convert to fraction form
    339,973/500,037 = 500,037/x
  3. Step 3: Cross multiply
    339,973x = 500,037 × 500,037
  4. Step 4: Simplify right side
    339,973x = 250,037,001,369
  5. Step 5: Solve for x
    x = 250,037,001,369/339,973
  6. Step 6: Final answer
    x = 735,461.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.