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Finding the Third Proportional to 284,528 and 577,240

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Solution

The third proportional to 284,528 and 577,240 is: 1,171,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,528 : 577,240 = 577,240 : x
  2. Step 2: Convert to fraction form
    284,528/577,240 = 577,240/x
  3. Step 3: Cross multiply
    284,528x = 577,240 × 577,240
  4. Step 4: Simplify right side
    284,528x = 333,206,017,600
  5. Step 5: Solve for x
    x = 333,206,017,600/284,528
  6. Step 6: Final answer
    x = 1,171,083.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.