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Finding the Third Proportional to 346,732 and 514,806

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Solution

The third proportional to 346,732 and 514,806 is: 764,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,732 : 514,806 = 514,806 : x
  2. Step 2: Convert to fraction form
    346,732/514,806 = 514,806/x
  3. Step 3: Cross multiply
    346,732x = 514,806 × 514,806
  4. Step 4: Simplify right side
    346,732x = 265,025,217,636
  5. Step 5: Solve for x
    x = 265,025,217,636/346,732
  6. Step 6: Final answer
    x = 764,351.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.