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Finding the Third Proportional to 482,784.75 and 730,390.88

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Solution

The third proportional to 482,784.75 and 730,390.88 is: 1,104,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,784.75 : 730,390.88 = 730,390.88 : x
  2. Step 2: Convert to fraction form
    482,784.75/730,390.88 = 730,390.88/x
  3. Step 3: Cross multiply
    482,784.75x = 730,390.88 × 730,390.88
  4. Step 4: Simplify right side
    482,784.75x = 533,470,830,283.27
  5. Step 5: Solve for x
    x = 533,470,830,283.27/482,784.75
  6. Step 6: Final answer
    x = 1,104,986.91

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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.