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Finding the Third Proportional to 519,490 and 703,971

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Solution

The third proportional to 519,490 and 703,971 is: 953,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,490 : 703,971 = 703,971 : x
  2. Step 2: Convert to fraction form
    519,490/703,971 = 703,971/x
  3. Step 3: Cross multiply
    519,490x = 703,971 × 703,971
  4. Step 4: Simplify right side
    519,490x = 495,575,168,841
  5. Step 5: Solve for x
    x = 495,575,168,841/519,490
  6. Step 6: Final answer
    x = 953,964.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.