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Finding the Third Proportional to 346,612 and 744,808

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Solution

The third proportional to 346,612 and 744,808 is: 1,600,460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,612 : 744,808 = 744,808 : x
  2. Step 2: Convert to fraction form
    346,612/744,808 = 744,808/x
  3. Step 3: Cross multiply
    346,612x = 744,808 × 744,808
  4. Step 4: Simplify right side
    346,612x = 554,738,956,864
  5. Step 5: Solve for x
    x = 554,738,956,864/346,612
  6. Step 6: Final answer
    x = 1,600,460.91

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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.