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Finding the Third Proportional to 346,465.50 and 514,635

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Solution

The third proportional to 346,465.50 and 514,635 is: 764,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,465.50 : 514,635 = 514,635 : x
  2. Step 2: Convert to fraction form
    346,465.50/514,635 = 514,635/x
  3. Step 3: Cross multiply
    346,465.50x = 514,635 × 514,635
  4. Step 4: Simplify right side
    346,465.50x = 264,849,183,225
  5. Step 5: Solve for x
    x = 264,849,183,225/346,465.50
  6. Step 6: Final answer
    x = 764,431.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.