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Finding the Third Proportional to 515,647.90 and 757,675.90

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Solution

The third proportional to 515,647.90 and 757,675.90 is: 1,113,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,647.90 : 757,675.90 = 757,675.90 : x
  2. Step 2: Convert to fraction form
    515,647.90/757,675.90 = 757,675.90/x
  3. Step 3: Cross multiply
    515,647.90x = 757,675.90 × 757,675.90
  4. Step 4: Simplify right side
    515,647.90x = 574,072,767,073.07
  5. Step 5: Solve for x
    x = 574,072,767,073.07/515,647.90
  6. Step 6: Final answer
    x = 1,113,303.80

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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.