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Finding the Third Proportional to 305,600 and 722,576

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Solution

The third proportional to 305,600 and 722,576 is: 1,708,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,600 : 722,576 = 722,576 : x
  2. Step 2: Convert to fraction form
    305,600/722,576 = 722,576/x
  3. Step 3: Cross multiply
    305,600x = 722,576 × 722,576
  4. Step 4: Simplify right side
    305,600x = 522,116,075,776
  5. Step 5: Solve for x
    x = 522,116,075,776/305,600
  6. Step 6: Final answer
    x = 1,708,495.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.