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Finding the Third Proportional to 338,961 and 736,903.50

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Solution

The third proportional to 338,961 and 736,903.50 is: 1,602,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,961 : 736,903.50 = 736,903.50 : x
  2. Step 2: Convert to fraction form
    338,961/736,903.50 = 736,903.50/x
  3. Step 3: Cross multiply
    338,961x = 736,903.50 × 736,903.50
  4. Step 4: Simplify right side
    338,961x = 543,026,768,312.25
  5. Step 5: Solve for x
    x = 543,026,768,312.25/338,961
  6. Step 6: Final answer
    x = 1,602,033.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.