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Finding the Third Proportional to 584,420 and 876,644

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Solution

The third proportional to 584,420 and 876,644 is: 1,314,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,420 : 876,644 = 876,644 : x
  2. Step 2: Convert to fraction form
    584,420/876,644 = 876,644/x
  3. Step 3: Cross multiply
    584,420x = 876,644 × 876,644
  4. Step 4: Simplify right side
    584,420x = 768,504,702,736
  5. Step 5: Solve for x
    x = 768,504,702,736/584,420
  6. Step 6: Final answer
    x = 1,314,987.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.