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Finding the Third Proportional to 385,276 and 613,592

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Solution

The third proportional to 385,276 and 613,592 is: 977,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,276 : 613,592 = 613,592 : x
  2. Step 2: Convert to fraction form
    385,276/613,592 = 613,592/x
  3. Step 3: Cross multiply
    385,276x = 613,592 × 613,592
  4. Step 4: Simplify right side
    385,276x = 376,495,142,464
  5. Step 5: Solve for x
    x = 376,495,142,464/385,276
  6. Step 6: Final answer
    x = 977,208.92

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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.