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Finding the Third Proportional to 584,557.50 and 876,918

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Solution

The third proportional to 584,557.50 and 876,918 is: 1,315,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,557.50 : 876,918 = 876,918 : x
  2. Step 2: Convert to fraction form
    584,557.50/876,918 = 876,918/x
  3. Step 3: Cross multiply
    584,557.50x = 876,918 × 876,918
  4. Step 4: Simplify right side
    584,557.50x = 768,985,178,724
  5. Step 5: Solve for x
    x = 768,985,178,724/584,557.50
  6. Step 6: Final answer
    x = 1,315,499.64

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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.