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Finding the Third Proportional to 346,561 and 514,758

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Solution

The third proportional to 346,561 and 514,758 is: 764,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,561 : 514,758 = 514,758 : x
  2. Step 2: Convert to fraction form
    346,561/514,758 = 514,758/x
  3. Step 3: Cross multiply
    346,561x = 514,758 × 514,758
  4. Step 4: Simplify right side
    346,561x = 264,975,798,564
  5. Step 5: Solve for x
    x = 264,975,798,564/346,561
  6. Step 6: Final answer
    x = 764,586.32

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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.