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Finding the Third Proportional to 339,136 and 716,072

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Solution

The third proportional to 339,136 and 716,072 is: 1,511,957.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,136 : 716,072 = 716,072 : x
  2. Step 2: Convert to fraction form
    339,136/716,072 = 716,072/x
  3. Step 3: Cross multiply
    339,136x = 716,072 × 716,072
  4. Step 4: Simplify right side
    339,136x = 512,759,109,184
  5. Step 5: Solve for x
    x = 512,759,109,184/339,136
  6. Step 6: Final answer
    x = 1,511,957.18

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.