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Finding the Third Proportional to 346,807 and 745,346

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Solution

The third proportional to 346,807 and 745,346 is: 1,601,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,807 : 745,346 = 745,346 : x
  2. Step 2: Convert to fraction form
    346,807/745,346 = 745,346/x
  3. Step 3: Cross multiply
    346,807x = 745,346 × 745,346
  4. Step 4: Simplify right side
    346,807x = 555,540,659,716
  5. Step 5: Solve for x
    x = 555,540,659,716/346,807
  6. Step 6: Final answer
    x = 1,601,872.68

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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.