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Finding the Third Proportional to 265,461 and 573,185

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Solution

The third proportional to 265,461 and 573,185 is: 1,237,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,461 : 573,185 = 573,185 : x
  2. Step 2: Convert to fraction form
    265,461/573,185 = 573,185/x
  3. Step 3: Cross multiply
    265,461x = 573,185 × 573,185
  4. Step 4: Simplify right side
    265,461x = 328,541,044,225
  5. Step 5: Solve for x
    x = 328,541,044,225/265,461
  6. Step 6: Final answer
    x = 1,237,624.53

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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.