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Finding the Third Proportional to 346,560.75 and 514,758.38

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Solution

The third proportional to 346,560.75 and 514,758.38 is: 764,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,560.75 : 514,758.38 = 514,758.38 : x
  2. Step 2: Convert to fraction form
    346,560.75/514,758.38 = 514,758.38/x
  3. Step 3: Cross multiply
    346,560.75x = 514,758.38 × 514,758.38
  4. Step 4: Simplify right side
    346,560.75x = 264,976,184,632.64
  5. Step 5: Solve for x
    x = 264,976,184,632.64/346,560.75
  6. Step 6: Final answer
    x = 764,587.98

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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.