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Finding the Third Proportional to 346,596 and 744,764

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Solution

The third proportional to 346,596 and 744,764 is: 1,600,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,596 : 744,764 = 744,764 : x
  2. Step 2: Convert to fraction form
    346,596/744,764 = 744,764/x
  3. Step 3: Cross multiply
    346,596x = 744,764 × 744,764
  4. Step 4: Simplify right side
    346,596x = 554,673,415,696
  5. Step 5: Solve for x
    x = 554,673,415,696/346,596
  6. Step 6: Final answer
    x = 1,600,345.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.