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Finding the Third Proportional to 256,339.69 and 560,924.63

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Solution

The third proportional to 256,339.69 and 560,924.63 is: 1,227,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,339.69 : 560,924.63 = 560,924.63 : x
  2. Step 2: Convert to fraction form
    256,339.69/560,924.63 = 560,924.63/x
  3. Step 3: Cross multiply
    256,339.69x = 560,924.63 × 560,924.63
  4. Step 4: Simplify right side
    256,339.69x = 314,636,434,931.39
  5. Step 5: Solve for x
    x = 314,636,434,931.39/256,339.69
  6. Step 6: Final answer
    x = 1,227,419.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.