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Finding the Third Proportional to 346,548 and 518,404

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Solution

The third proportional to 346,548 and 518,404 is: 775,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,548 : 518,404 = 518,404 : x
  2. Step 2: Convert to fraction form
    346,548/518,404 = 518,404/x
  3. Step 3: Cross multiply
    346,548x = 518,404 × 518,404
  4. Step 4: Simplify right side
    346,548x = 268,742,707,216
  5. Step 5: Solve for x
    x = 268,742,707,216/346,548
  6. Step 6: Final answer
    x = 775,484.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.