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Finding the Third Proportional to 329,026 and 714,426

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Solution

The third proportional to 329,026 and 714,426 is: 1,551,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,026 : 714,426 = 714,426 : x
  2. Step 2: Convert to fraction form
    329,026/714,426 = 714,426/x
  3. Step 3: Cross multiply
    329,026x = 714,426 × 714,426
  4. Step 4: Simplify right side
    329,026x = 510,404,509,476
  5. Step 5: Solve for x
    x = 510,404,509,476/329,026
  6. Step 6: Final answer
    x = 1,551,258.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.