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Finding the Third Proportional to 265,572 and 411,210

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Solution

The third proportional to 265,572 and 411,210 is: 636,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,572 : 411,210 = 411,210 : x
  2. Step 2: Convert to fraction form
    265,572/411,210 = 411,210/x
  3. Step 3: Cross multiply
    265,572x = 411,210 × 411,210
  4. Step 4: Simplify right side
    265,572x = 169,093,664,100
  5. Step 5: Solve for x
    x = 169,093,664,100/265,572
  6. Step 6: Final answer
    x = 636,714.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.