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Finding the Third Proportional to 346,484 and 746,536

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Solution

The third proportional to 346,484 and 746,536 is: 1,608,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,484 : 746,536 = 746,536 : x
  2. Step 2: Convert to fraction form
    346,484/746,536 = 746,536/x
  3. Step 3: Cross multiply
    346,484x = 746,536 × 746,536
  4. Step 4: Simplify right side
    346,484x = 557,315,999,296
  5. Step 5: Solve for x
    x = 557,315,999,296/346,484
  6. Step 6: Final answer
    x = 1,608,489.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.