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Finding the Third Proportional to 277,507 and 598,232

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Solution

The third proportional to 277,507 and 598,232 is: 1,289,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,507 : 598,232 = 598,232 : x
  2. Step 2: Convert to fraction form
    277,507/598,232 = 598,232/x
  3. Step 3: Cross multiply
    277,507x = 598,232 × 598,232
  4. Step 4: Simplify right side
    277,507x = 357,881,525,824
  5. Step 5: Solve for x
    x = 357,881,525,824/277,507
  6. Step 6: Final answer
    x = 1,289,630.62

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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.