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Finding the Third Proportional to 294,038.25 and 432,442.50

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Solution

The third proportional to 294,038.25 and 432,442.50 is: 635,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,038.25 : 432,442.50 = 432,442.50 : x
  2. Step 2: Convert to fraction form
    294,038.25/432,442.50 = 432,442.50/x
  3. Step 3: Cross multiply
    294,038.25x = 432,442.50 × 432,442.50
  4. Step 4: Simplify right side
    294,038.25x = 187,006,515,806.25
  5. Step 5: Solve for x
    x = 187,006,515,806.25/294,038.25
  6. Step 6: Final answer
    x = 635,993.84

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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.