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Finding the Third Proportional to 296,252 and 637,461

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Solution

The third proportional to 296,252 and 637,461 is: 1,371,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,252 : 637,461 = 637,461 : x
  2. Step 2: Convert to fraction form
    296,252/637,461 = 637,461/x
  3. Step 3: Cross multiply
    296,252x = 637,461 × 637,461
  4. Step 4: Simplify right side
    296,252x = 406,356,526,521
  5. Step 5: Solve for x
    x = 406,356,526,521/296,252
  6. Step 6: Final answer
    x = 1,371,658.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.