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Finding the Third Proportional to 329,164.59 and 704,985.19

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Solution

The third proportional to 329,164.59 and 704,985.19 is: 1,509,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,164.59 : 704,985.19 = 704,985.19 : x
  2. Step 2: Convert to fraction form
    329,164.59/704,985.19 = 704,985.19/x
  3. Step 3: Cross multiply
    329,164.59x = 704,985.19 × 704,985.19
  4. Step 4: Simplify right side
    329,164.59x = 497,004,114,594.41
  5. Step 5: Solve for x
    x = 497,004,114,594.41/329,164.59
  6. Step 6: Final answer
    x = 1,509,895.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.