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Finding the Third Proportional to 273,552 and 586,032

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Solution

The third proportional to 273,552 and 586,032 is: 1,255,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,552 : 586,032 = 586,032 : x
  2. Step 2: Convert to fraction form
    273,552/586,032 = 586,032/x
  3. Step 3: Cross multiply
    273,552x = 586,032 × 586,032
  4. Step 4: Simplify right side
    273,552x = 343,433,505,024
  5. Step 5: Solve for x
    x = 343,433,505,024/273,552
  6. Step 6: Final answer
    x = 1,255,459.68

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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.