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Finding the Third Proportional to 277,464 and 598,632

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Solution

The third proportional to 277,464 and 598,632 is: 1,291,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,464 : 598,632 = 598,632 : x
  2. Step 2: Convert to fraction form
    277,464/598,632 = 598,632/x
  3. Step 3: Cross multiply
    277,464x = 598,632 × 598,632
  4. Step 4: Simplify right side
    277,464x = 358,360,271,424
  5. Step 5: Solve for x
    x = 358,360,271,424/277,464
  6. Step 6: Final answer
    x = 1,291,555.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.