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Finding the Third Proportional to 319,367 and 697,513

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Solution

The third proportional to 319,367 and 697,513 is: 1,523,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,367 : 697,513 = 697,513 : x
  2. Step 2: Convert to fraction form
    319,367/697,513 = 697,513/x
  3. Step 3: Cross multiply
    319,367x = 697,513 × 697,513
  4. Step 4: Simplify right side
    319,367x = 486,524,385,169
  5. Step 5: Solve for x
    x = 486,524,385,169/319,367
  6. Step 6: Final answer
    x = 1,523,402.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.