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Finding the Third Proportional to 296,260 and 637,475

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Solution

The third proportional to 296,260 and 637,475 is: 1,371,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,260 : 637,475 = 637,475 : x
  2. Step 2: Convert to fraction form
    296,260/637,475 = 637,475/x
  3. Step 3: Cross multiply
    296,260x = 637,475 × 637,475
  4. Step 4: Simplify right side
    296,260x = 406,374,375,625
  5. Step 5: Solve for x
    x = 406,374,375,625/296,260
  6. Step 6: Final answer
    x = 1,371,681.55

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