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Finding the Third Proportional to 252,528 and 554,871

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Solution

The third proportional to 252,528 and 554,871 is: 1,219,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,528 : 554,871 = 554,871 : x
  2. Step 2: Convert to fraction form
    252,528/554,871 = 554,871/x
  3. Step 3: Cross multiply
    252,528x = 554,871 × 554,871
  4. Step 4: Simplify right side
    252,528x = 307,881,826,641
  5. Step 5: Solve for x
    x = 307,881,826,641/252,528
  6. Step 6: Final answer
    x = 1,219,198.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.