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Finding the Third Proportional to 315,968.25 and 484,510.50

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Solution

The third proportional to 315,968.25 and 484,510.50 is: 742,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,968.25 : 484,510.50 = 484,510.50 : x
  2. Step 2: Convert to fraction form
    315,968.25/484,510.50 = 484,510.50/x
  3. Step 3: Cross multiply
    315,968.25x = 484,510.50 × 484,510.50
  4. Step 4: Simplify right side
    315,968.25x = 234,750,424,610.25
  5. Step 5: Solve for x
    x = 234,750,424,610.25/315,968.25
  6. Step 6: Final answer
    x = 742,955.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.