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Finding the Third Proportional to 306,298.50 and 703,036.50

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Solution

The third proportional to 306,298.50 and 703,036.50 is: 1,613,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,298.50 : 703,036.50 = 703,036.50 : x
  2. Step 2: Convert to fraction form
    306,298.50/703,036.50 = 703,036.50/x
  3. Step 3: Cross multiply
    306,298.50x = 703,036.50 × 703,036.50
  4. Step 4: Simplify right side
    306,298.50x = 494,260,320,332.25
  5. Step 5: Solve for x
    x = 494,260,320,332.25/306,298.50
  6. Step 6: Final answer
    x = 1,613,655.70

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.