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Finding the Third Proportional to 315,013.50 and 740,475

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Solution

The third proportional to 315,013.50 and 740,475 is: 1,740,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,013.50 : 740,475 = 740,475 : x
  2. Step 2: Convert to fraction form
    315,013.50/740,475 = 740,475/x
  3. Step 3: Cross multiply
    315,013.50x = 740,475 × 740,475
  4. Step 4: Simplify right side
    315,013.50x = 548,303,225,625
  5. Step 5: Solve for x
    x = 548,303,225,625/315,013.50
  6. Step 6: Final answer
    x = 1,740,570.56

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.