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Finding the Third Proportional to 269,829 and 592,146

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Solution

The third proportional to 269,829 and 592,146 is: 1,299,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,829 : 592,146 = 592,146 : x
  2. Step 2: Convert to fraction form
    269,829/592,146 = 592,146/x
  3. Step 3: Cross multiply
    269,829x = 592,146 × 592,146
  4. Step 4: Simplify right side
    269,829x = 350,636,885,316
  5. Step 5: Solve for x
    x = 350,636,885,316/269,829
  6. Step 6: Final answer
    x = 1,299,478.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.