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Finding the Third Proportional to 482,785.95 and 730,393.45

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Solution

The third proportional to 482,785.95 and 730,393.45 is: 1,104,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,785.95 : 730,393.45 = 730,393.45 : x
  2. Step 2: Convert to fraction form
    482,785.95/730,393.45 = 730,393.45/x
  3. Step 3: Cross multiply
    482,785.95x = 730,393.45 × 730,393.45
  4. Step 4: Simplify right side
    482,785.95x = 533,474,596,367.86
  5. Step 5: Solve for x
    x = 533,474,596,367.86/482,785.95
  6. Step 6: Final answer
    x = 1,104,991.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.