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Finding the Third Proportional to 305,964 and 467,712

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Solution

The third proportional to 305,964 and 467,712 is: 714,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,964 : 467,712 = 467,712 : x
  2. Step 2: Convert to fraction form
    305,964/467,712 = 467,712/x
  3. Step 3: Cross multiply
    305,964x = 467,712 × 467,712
  4. Step 4: Simplify right side
    305,964x = 218,754,514,944
  5. Step 5: Solve for x
    x = 218,754,514,944/305,964
  6. Step 6: Final answer
    x = 714,968.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.