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Finding the Third Proportional to 343,352 and 462,034

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Solution

The third proportional to 343,352 and 462,034 is: 621,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,352 : 462,034 = 462,034 : x
  2. Step 2: Convert to fraction form
    343,352/462,034 = 462,034/x
  3. Step 3: Cross multiply
    343,352x = 462,034 × 462,034
  4. Step 4: Simplify right side
    343,352x = 213,475,417,156
  5. Step 5: Solve for x
    x = 213,475,417,156/343,352
  6. Step 6: Final answer
    x = 621,739.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.