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Finding the Third Proportional to 319,808 and 704,008

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Solution

The third proportional to 319,808 and 704,008 is: 1,549,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,808 : 704,008 = 704,008 : x
  2. Step 2: Convert to fraction form
    319,808/704,008 = 704,008/x
  3. Step 3: Cross multiply
    319,808x = 704,008 × 704,008
  4. Step 4: Simplify right side
    319,808x = 495,627,264,064
  5. Step 5: Solve for x
    x = 495,627,264,064/319,808
  6. Step 6: Final answer
    x = 1,549,765.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.