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Finding the Third Proportional to 385,343 and 613,688

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Solution

The third proportional to 385,343 and 613,688 is: 977,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,343 : 613,688 = 613,688 : x
  2. Step 2: Convert to fraction form
    385,343/613,688 = 613,688/x
  3. Step 3: Cross multiply
    385,343x = 613,688 × 613,688
  4. Step 4: Simplify right side
    385,343x = 376,612,961,344
  5. Step 5: Solve for x
    x = 376,612,961,344/385,343
  6. Step 6: Final answer
    x = 977,344.76

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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.