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Finding the Third Proportional to 481,335.75 and 748,328.63

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Solution

The third proportional to 481,335.75 and 748,328.63 is: 1,163,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,335.75 : 748,328.63 = 748,328.63 : x
  2. Step 2: Convert to fraction form
    481,335.75/748,328.63 = 748,328.63/x
  3. Step 3: Cross multiply
    481,335.75x = 748,328.63 × 748,328.63
  4. Step 4: Simplify right side
    481,335.75x = 559,995,730,994.39
  5. Step 5: Solve for x
    x = 559,995,730,994.39/481,335.75
  6. Step 6: Final answer
    x = 1,163,420.19

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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.