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Finding the Third Proportional to 393,721.50 and 607,971

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Solution

The third proportional to 393,721.50 and 607,971 is: 938,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,721.50 : 607,971 = 607,971 : x
  2. Step 2: Convert to fraction form
    393,721.50/607,971 = 607,971/x
  3. Step 3: Cross multiply
    393,721.50x = 607,971 × 607,971
  4. Step 4: Simplify right side
    393,721.50x = 369,628,736,841
  5. Step 5: Solve for x
    x = 369,628,736,841/393,721.50
  6. Step 6: Final answer
    x = 938,807.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.