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Finding the Third Proportional to 329,004 and 707,904

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Solution

The third proportional to 329,004 and 707,904 is: 1,523,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,004 : 707,904 = 707,904 : x
  2. Step 2: Convert to fraction form
    329,004/707,904 = 707,904/x
  3. Step 3: Cross multiply
    329,004x = 707,904 × 707,904
  4. Step 4: Simplify right side
    329,004x = 501,128,073,216
  5. Step 5: Solve for x
    x = 501,128,073,216/329,004
  6. Step 6: Final answer
    x = 1,523,167.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.