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Finding the Third Proportional to 366,582 and 567,603

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Solution

The third proportional to 366,582 and 567,603 is: 878,857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,582 : 567,603 = 567,603 : x
  2. Step 2: Convert to fraction form
    366,582/567,603 = 567,603/x
  3. Step 3: Cross multiply
    366,582x = 567,603 × 567,603
  4. Step 4: Simplify right side
    366,582x = 322,173,165,609
  5. Step 5: Solve for x
    x = 322,173,165,609/366,582
  6. Step 6: Final answer
    x = 878,857.02

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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.