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Finding the Third Proportional to 306,903 and 716,904

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Solution

The third proportional to 306,903 and 716,904 is: 1,674,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,903 : 716,904 = 716,904 : x
  2. Step 2: Convert to fraction form
    306,903/716,904 = 716,904/x
  3. Step 3: Cross multiply
    306,903x = 716,904 × 716,904
  4. Step 4: Simplify right side
    306,903x = 513,951,345,216
  5. Step 5: Solve for x
    x = 513,951,345,216/306,903
  6. Step 6: Final answer
    x = 1,674,637.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.