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Finding the Third Proportional to 309,060 and 651,883.50

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Solution

The third proportional to 309,060 and 651,883.50 is: 1,374,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,060 : 651,883.50 = 651,883.50 : x
  2. Step 2: Convert to fraction form
    309,060/651,883.50 = 651,883.50/x
  3. Step 3: Cross multiply
    309,060x = 651,883.50 × 651,883.50
  4. Step 4: Simplify right side
    309,060x = 424,952,097,572.25
  5. Step 5: Solve for x
    x = 424,952,097,572.25/309,060
  6. Step 6: Final answer
    x = 1,374,982.52

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.