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Finding the Third Proportional to 346,803 and 745,338

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Solution

The third proportional to 346,803 and 745,338 is: 1,601,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,803 : 745,338 = 745,338 : x
  2. Step 2: Convert to fraction form
    346,803/745,338 = 745,338/x
  3. Step 3: Cross multiply
    346,803x = 745,338 × 745,338
  4. Step 4: Simplify right side
    346,803x = 555,528,734,244
  5. Step 5: Solve for x
    x = 555,528,734,244/346,803
  6. Step 6: Final answer
    x = 1,601,856.77

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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.