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Finding the Third Proportional to 367,365 and 567,417

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Solution

The third proportional to 367,365 and 567,417 is: 876,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,365 : 567,417 = 567,417 : x
  2. Step 2: Convert to fraction form
    367,365/567,417 = 567,417/x
  3. Step 3: Cross multiply
    367,365x = 567,417 × 567,417
  4. Step 4: Simplify right side
    367,365x = 321,962,051,889
  5. Step 5: Solve for x
    x = 321,962,051,889/367,365
  6. Step 6: Final answer
    x = 876,409.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.