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Finding the Third Proportional to 252,706 and 544,776

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Solution

The third proportional to 252,706 and 544,776 is: 1,174,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,706 : 544,776 = 544,776 : x
  2. Step 2: Convert to fraction form
    252,706/544,776 = 544,776/x
  3. Step 3: Cross multiply
    252,706x = 544,776 × 544,776
  4. Step 4: Simplify right side
    252,706x = 296,780,890,176
  5. Step 5: Solve for x
    x = 296,780,890,176/252,706
  6. Step 6: Final answer
    x = 1,174,411.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.