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Finding the Third Proportional to 277,024.50 and 598,347

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Solution

The third proportional to 277,024.50 and 598,347 is: 1,292,373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,024.50 : 598,347 = 598,347 : x
  2. Step 2: Convert to fraction form
    277,024.50/598,347 = 598,347/x
  3. Step 3: Cross multiply
    277,024.50x = 598,347 × 598,347
  4. Step 4: Simplify right side
    277,024.50x = 358,019,132,409
  5. Step 5: Solve for x
    x = 358,019,132,409/277,024.50
  6. Step 6: Final answer
    x = 1,292,373.54

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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.