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Finding the Third Proportional to 306,111.38 and 714,819.38

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Solution

The third proportional to 306,111.38 and 714,819.38 is: 1,669,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,111.38 : 714,819.38 = 714,819.38 : x
  2. Step 2: Convert to fraction form
    306,111.38/714,819.38 = 714,819.38/x
  3. Step 3: Cross multiply
    306,111.38x = 714,819.38 × 714,819.38
  4. Step 4: Simplify right side
    306,111.38x = 510,966,738,875.39
  5. Step 5: Solve for x
    x = 510,966,738,875.39/306,111.38
  6. Step 6: Final answer
    x = 1,669,218.40

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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.