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Finding the Third Proportional to 319,938 and 483,307.50

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Solution

The third proportional to 319,938 and 483,307.50 is: 730,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,938 : 483,307.50 = 483,307.50 : x
  2. Step 2: Convert to fraction form
    319,938/483,307.50 = 483,307.50/x
  3. Step 3: Cross multiply
    319,938x = 483,307.50 × 483,307.50
  4. Step 4: Simplify right side
    319,938x = 233,586,139,556.25
  5. Step 5: Solve for x
    x = 233,586,139,556.25/319,938
  6. Step 6: Final answer
    x = 730,098.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.