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Finding the Third Proportional to 351,346 and 529,428

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Solution

The third proportional to 351,346 and 529,428 is: 797,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,346 : 529,428 = 529,428 : x
  2. Step 2: Convert to fraction form
    351,346/529,428 = 529,428/x
  3. Step 3: Cross multiply
    351,346x = 529,428 × 529,428
  4. Step 4: Simplify right side
    351,346x = 280,294,007,184
  5. Step 5: Solve for x
    x = 280,294,007,184/351,346
  6. Step 6: Final answer
    x = 797,772.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.