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Finding the Third Proportional to 515,938.50 and 743,139

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Solution

The third proportional to 515,938.50 and 743,139 is: 1,070,390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,938.50 : 743,139 = 743,139 : x
  2. Step 2: Convert to fraction form
    515,938.50/743,139 = 743,139/x
  3. Step 3: Cross multiply
    515,938.50x = 743,139 × 743,139
  4. Step 4: Simplify right side
    515,938.50x = 552,255,573,321
  5. Step 5: Solve for x
    x = 552,255,573,321/515,938.50
  6. Step 6: Final answer
    x = 1,070,390.31

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.