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Finding the Third Proportional to 273,558 and 586,044

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Solution

The third proportional to 273,558 and 586,044 is: 1,255,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,558 : 586,044 = 586,044 : x
  2. Step 2: Convert to fraction form
    273,558/586,044 = 586,044/x
  3. Step 3: Cross multiply
    273,558x = 586,044 × 586,044
  4. Step 4: Simplify right side
    273,558x = 343,447,569,936
  5. Step 5: Solve for x
    x = 343,447,569,936/273,558
  6. Step 6: Final answer
    x = 1,255,483.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.