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Finding the Third Proportional to 352,490 and 567,431

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Solution

The third proportional to 352,490 and 567,431 is: 913,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,490 : 567,431 = 567,431 : x
  2. Step 2: Convert to fraction form
    352,490/567,431 = 567,431/x
  3. Step 3: Cross multiply
    352,490x = 567,431 × 567,431
  4. Step 4: Simplify right side
    352,490x = 321,977,939,761
  5. Step 5: Solve for x
    x = 321,977,939,761/352,490
  6. Step 6: Final answer
    x = 913,438.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.