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Finding the Third Proportional to 245,151 and 579,627

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Solution

The third proportional to 245,151 and 579,627 is: 1,370,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,151 : 579,627 = 579,627 : x
  2. Step 2: Convert to fraction form
    245,151/579,627 = 579,627/x
  3. Step 3: Cross multiply
    245,151x = 579,627 × 579,627
  4. Step 4: Simplify right side
    245,151x = 335,967,459,129
  5. Step 5: Solve for x
    x = 335,967,459,129/245,151
  6. Step 6: Final answer
    x = 1,370,451.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.