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Finding the Third Proportional to 274,044 and 411,072

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Solution

The third proportional to 274,044 and 411,072 is: 616,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,044 : 411,072 = 411,072 : x
  2. Step 2: Convert to fraction form
    274,044/411,072 = 411,072/x
  3. Step 3: Cross multiply
    274,044x = 411,072 × 411,072
  4. Step 4: Simplify right side
    274,044x = 168,980,189,184
  5. Step 5: Solve for x
    x = 168,980,189,184/274,044
  6. Step 6: Final answer
    x = 616,617.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.