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Finding the Third Proportional to 584,420 and 874,276

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Solution

The third proportional to 584,420 and 874,276 is: 1,307,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,420 : 874,276 = 874,276 : x
  2. Step 2: Convert to fraction form
    584,420/874,276 = 874,276/x
  3. Step 3: Cross multiply
    584,420x = 874,276 × 874,276
  4. Step 4: Simplify right side
    584,420x = 764,358,524,176
  5. Step 5: Solve for x
    x = 764,358,524,176/584,420
  6. Step 6: Final answer
    x = 1,307,892.48

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