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Finding the Third Proportional to 295,103.25 and 432,869.06

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Solution

The third proportional to 295,103.25 and 432,869.06 is: 634,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,103.25 : 432,869.06 = 432,869.06 : x
  2. Step 2: Convert to fraction form
    295,103.25/432,869.06 = 432,869.06/x
  3. Step 3: Cross multiply
    295,103.25x = 432,869.06 × 432,869.06
  4. Step 4: Simplify right side
    295,103.25x = 187,375,625,269.63
  5. Step 5: Solve for x
    x = 187,375,625,269.63/295,103.25
  6. Step 6: Final answer
    x = 634,949.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.