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Finding the Third Proportional to 252,466 and 544,297

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Solution

The third proportional to 252,466 and 544,297 is: 1,173,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,466 : 544,297 = 544,297 : x
  2. Step 2: Convert to fraction form
    252,466/544,297 = 544,297/x
  3. Step 3: Cross multiply
    252,466x = 544,297 × 544,297
  4. Step 4: Simplify right side
    252,466x = 296,259,224,209
  5. Step 5: Solve for x
    x = 296,259,224,209/252,466
  6. Step 6: Final answer
    x = 1,173,461.87

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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.