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Finding the Third Proportional to 509,297.63 and 1,079,307.28

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Solution

The third proportional to 509,297.63 and 1,079,307.28 is: 2,287,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,297.63 : 1,079,307.28 = 1,079,307.28 : x
  2. Step 2: Convert to fraction form
    509,297.63/1,079,307.28 = 1,079,307.28/x
  3. Step 3: Cross multiply
    509,297.63x = 1,079,307.28 × 1,079,307.28
  4. Step 4: Simplify right side
    509,297.63x = 1,164,904,207,359.27
  5. Step 5: Solve for x
    x = 1,164,904,207,359.27/509,297.63
  6. Step 6: Final answer
    x = 2,287,275.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.