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Finding the Third Proportional to 272,416 and 577,596

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Solution

The third proportional to 272,416 and 577,596 is: 1,224,660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,416 : 577,596 = 577,596 : x
  2. Step 2: Convert to fraction form
    272,416/577,596 = 577,596/x
  3. Step 3: Cross multiply
    272,416x = 577,596 × 577,596
  4. Step 4: Simplify right side
    272,416x = 333,617,139,216
  5. Step 5: Solve for x
    x = 333,617,139,216/272,416
  6. Step 6: Final answer
    x = 1,224,660.59

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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.