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Finding the Third Proportional to 361,499.63 and 787,276.13

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Solution

The third proportional to 361,499.63 and 787,276.13 is: 1,714,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,499.63 : 787,276.13 = 787,276.13 : x
  2. Step 2: Convert to fraction form
    361,499.63/787,276.13 = 787,276.13/x
  3. Step 3: Cross multiply
    361,499.63x = 787,276.13 × 787,276.13
  4. Step 4: Simplify right side
    361,499.63x = 619,803,696,995.02
  5. Step 5: Solve for x
    x = 619,803,696,995.02/361,499.63
  6. Step 6: Final answer
    x = 1,714,534.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.