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Finding the Third Proportional to 346,468.50 and 514,640.25

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Solution

The third proportional to 346,468.50 and 514,640.25 is: 764,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,468.50 : 514,640.25 = 514,640.25 : x
  2. Step 2: Convert to fraction form
    346,468.50/514,640.25 = 514,640.25/x
  3. Step 3: Cross multiply
    346,468.50x = 514,640.25 × 514,640.25
  4. Step 4: Simplify right side
    346,468.50x = 264,854,586,920.06
  5. Step 5: Solve for x
    x = 264,854,586,920.06/346,468.50
  6. Step 6: Final answer
    x = 764,440.60

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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.