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Finding the Third Proportional to 283,230 and 579,528

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Solution

The third proportional to 283,230 and 579,528 is: 1,185,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,230 : 579,528 = 579,528 : x
  2. Step 2: Convert to fraction form
    283,230/579,528 = 579,528/x
  3. Step 3: Cross multiply
    283,230x = 579,528 × 579,528
  4. Step 4: Simplify right side
    283,230x = 335,852,702,784
  5. Step 5: Solve for x
    x = 335,852,702,784/283,230
  6. Step 6: Final answer
    x = 1,185,794.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.