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Finding the Third Proportional to 329,293.50 and 718,258.50

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Solution

The third proportional to 329,293.50 and 718,258.50 is: 1,566,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,293.50 : 718,258.50 = 718,258.50 : x
  2. Step 2: Convert to fraction form
    329,293.50/718,258.50 = 718,258.50/x
  3. Step 3: Cross multiply
    329,293.50x = 718,258.50 × 718,258.50
  4. Step 4: Simplify right side
    329,293.50x = 515,895,272,822.25
  5. Step 5: Solve for x
    x = 515,895,272,822.25/329,293.50
  6. Step 6: Final answer
    x = 1,566,673.11

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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.