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Finding the Third Proportional to 312,614.63 and 484,366.13

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Solution

The third proportional to 312,614.63 and 484,366.13 is: 750,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,614.63 : 484,366.13 = 484,366.13 : x
  2. Step 2: Convert to fraction form
    312,614.63/484,366.13 = 484,366.13/x
  3. Step 3: Cross multiply
    312,614.63x = 484,366.13 × 484,366.13
  4. Step 4: Simplify right side
    312,614.63x = 234,610,543,047.52
  5. Step 5: Solve for x
    x = 234,610,543,047.52/312,614.63
  6. Step 6: Final answer
    x = 750,478.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.