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Finding the Third Proportional to 413,328 and 585,020

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Solution

The third proportional to 413,328 and 585,020 is: 828,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,328 : 585,020 = 585,020 : x
  2. Step 2: Convert to fraction form
    413,328/585,020 = 585,020/x
  3. Step 3: Cross multiply
    413,328x = 585,020 × 585,020
  4. Step 4: Simplify right side
    413,328x = 342,248,400,400
  5. Step 5: Solve for x
    x = 342,248,400,400/413,328
  6. Step 6: Final answer
    x = 828,031.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.