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Finding the Third Proportional to 559,273 and 838,971

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Solution

The third proportional to 559,273 and 838,971 is: 1,258,548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,273 : 838,971 = 838,971 : x
  2. Step 2: Convert to fraction form
    559,273/838,971 = 838,971/x
  3. Step 3: Cross multiply
    559,273x = 838,971 × 838,971
  4. Step 4: Simplify right side
    559,273x = 703,872,338,841
  5. Step 5: Solve for x
    x = 703,872,338,841/559,273
  6. Step 6: Final answer
    x = 1,258,548.76

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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.