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Finding the Third Proportional to 385,020 and 595,026

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Solution

The third proportional to 385,020 and 595,026 is: 919,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,020 : 595,026 = 595,026 : x
  2. Step 2: Convert to fraction form
    385,020/595,026 = 595,026/x
  3. Step 3: Cross multiply
    385,020x = 595,026 × 595,026
  4. Step 4: Simplify right side
    385,020x = 354,055,940,676
  5. Step 5: Solve for x
    x = 354,055,940,676/385,020
  6. Step 6: Final answer
    x = 919,578.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.