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Finding the Third Proportional to 274,784 and 602,032

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Solution

The third proportional to 274,784 and 602,032 is: 1,319,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,784 : 602,032 = 602,032 : x
  2. Step 2: Convert to fraction form
    274,784/602,032 = 602,032/x
  3. Step 3: Cross multiply
    274,784x = 602,032 × 602,032
  4. Step 4: Simplify right side
    274,784x = 362,442,529,024
  5. Step 5: Solve for x
    x = 362,442,529,024/274,784
  6. Step 6: Final answer
    x = 1,319,008.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.