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Finding the Third Proportional to 283,246 and 432,261

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Solution

The third proportional to 283,246 and 432,261 is: 659,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,246 : 432,261 = 432,261 : x
  2. Step 2: Convert to fraction form
    283,246/432,261 = 432,261/x
  3. Step 3: Cross multiply
    283,246x = 432,261 × 432,261
  4. Step 4: Simplify right side
    283,246x = 186,849,572,121
  5. Step 5: Solve for x
    x = 186,849,572,121/283,246
  6. Step 6: Final answer
    x = 659,672.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.