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Finding the Third Proportional to 602,185 and 865,549

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Solution

The third proportional to 602,185 and 865,549 is: 1,244,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,185 : 865,549 = 865,549 : x
  2. Step 2: Convert to fraction form
    602,185/865,549 = 865,549/x
  3. Step 3: Cross multiply
    602,185x = 865,549 × 865,549
  4. Step 4: Simplify right side
    602,185x = 749,175,071,401
  5. Step 5: Solve for x
    x = 749,175,071,401/602,185
  6. Step 6: Final answer
    x = 1,244,094.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.