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Finding the Third Proportional to 437,832 and 559,455

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Solution

The third proportional to 437,832 and 559,455 is: 714,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,832 : 559,455 = 559,455 : x
  2. Step 2: Convert to fraction form
    437,832/559,455 = 559,455/x
  3. Step 3: Cross multiply
    437,832x = 559,455 × 559,455
  4. Step 4: Simplify right side
    437,832x = 312,989,897,025
  5. Step 5: Solve for x
    x = 312,989,897,025/437,832
  6. Step 6: Final answer
    x = 714,863.00

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.