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Finding the Third Proportional to 256,339.13 and 560,953.13

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Solution

The third proportional to 256,339.13 and 560,953.13 is: 1,227,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,339.13 : 560,953.13 = 560,953.13 : x
  2. Step 2: Convert to fraction form
    256,339.13/560,953.13 = 560,953.13/x
  3. Step 3: Cross multiply
    256,339.13x = 560,953.13 × 560,953.13
  4. Step 4: Simplify right side
    256,339.13x = 314,668,408,447.27
  5. Step 5: Solve for x
    x = 314,668,408,447.27/256,339.13
  6. Step 6: Final answer
    x = 1,227,547.33

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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.