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Finding the Third Proportional to 262,564 and 572,649

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Solution

The third proportional to 262,564 and 572,649 is: 1,248,940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,564 : 572,649 = 572,649 : x
  2. Step 2: Convert to fraction form
    262,564/572,649 = 572,649/x
  3. Step 3: Cross multiply
    262,564x = 572,649 × 572,649
  4. Step 4: Simplify right side
    262,564x = 327,926,877,201
  5. Step 5: Solve for x
    x = 327,926,877,201/262,564
  6. Step 6: Final answer
    x = 1,248,940.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.