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Finding the Third Proportional to 323,346 and 705,428

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Solution

The third proportional to 323,346 and 705,428 is: 1,538,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,346 : 705,428 = 705,428 : x
  2. Step 2: Convert to fraction form
    323,346/705,428 = 705,428/x
  3. Step 3: Cross multiply
    323,346x = 705,428 × 705,428
  4. Step 4: Simplify right side
    323,346x = 497,628,663,184
  5. Step 5: Solve for x
    x = 497,628,663,184/323,346
  6. Step 6: Final answer
    x = 1,538,997.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.