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Finding the Third Proportional to 418,133 and 637,031.50

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Solution

The third proportional to 418,133 and 637,031.50 is: 970,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,133 : 637,031.50 = 637,031.50 : x
  2. Step 2: Convert to fraction form
    418,133/637,031.50 = 637,031.50/x
  3. Step 3: Cross multiply
    418,133x = 637,031.50 × 637,031.50
  4. Step 4: Simplify right side
    418,133x = 405,809,131,992.25
  5. Step 5: Solve for x
    x = 405,809,131,992.25/418,133
  6. Step 6: Final answer
    x = 970,526.44

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.