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Finding the Third Proportional to 385,293 and 613,613

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Solution

The third proportional to 385,293 and 613,613 is: 977,232.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,293 : 613,613 = 613,613 : x
  2. Step 2: Convert to fraction form
    385,293/613,613 = 613,613/x
  3. Step 3: Cross multiply
    385,293x = 613,613 × 613,613
  4. Step 4: Simplify right side
    385,293x = 376,520,913,769
  5. Step 5: Solve for x
    x = 376,520,913,769/385,293
  6. Step 6: Final answer
    x = 977,232.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.