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Finding the Third Proportional to 585,306 and 855,603

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Solution

The third proportional to 585,306 and 855,603 is: 1,250,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,306 : 855,603 = 855,603 : x
  2. Step 2: Convert to fraction form
    585,306/855,603 = 855,603/x
  3. Step 3: Cross multiply
    585,306x = 855,603 × 855,603
  4. Step 4: Simplify right side
    585,306x = 732,056,493,609
  5. Step 5: Solve for x
    x = 732,056,493,609/585,306
  6. Step 6: Final answer
    x = 1,250,724.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.