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Finding the Third Proportional to 274,805 and 602,746

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Solution

The third proportional to 274,805 and 602,746 is: 1,322,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,805 : 602,746 = 602,746 : x
  2. Step 2: Convert to fraction form
    274,805/602,746 = 602,746/x
  3. Step 3: Cross multiply
    274,805x = 602,746 × 602,746
  4. Step 4: Simplify right side
    274,805x = 363,302,740,516
  5. Step 5: Solve for x
    x = 363,302,740,516/274,805
  6. Step 6: Final answer
    x = 1,322,038.32

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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.