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Finding the Third Proportional to 598,428 and 874,497

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Solution

The third proportional to 598,428 and 874,497 is: 1,277,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,428 : 874,497 = 874,497 : x
  2. Step 2: Convert to fraction form
    598,428/874,497 = 874,497/x
  3. Step 3: Cross multiply
    598,428x = 874,497 × 874,497
  4. Step 4: Simplify right side
    598,428x = 764,745,003,009
  5. Step 5: Solve for x
    x = 764,745,003,009/598,428
  6. Step 6: Final answer
    x = 1,277,923.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.