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Finding the Third Proportional to 296,655.75 and 614,326.50

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Solution

The third proportional to 296,655.75 and 614,326.50 is: 1,272,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,655.75 : 614,326.50 = 614,326.50 : x
  2. Step 2: Convert to fraction form
    296,655.75/614,326.50 = 614,326.50/x
  3. Step 3: Cross multiply
    296,655.75x = 614,326.50 × 614,326.50
  4. Step 4: Simplify right side
    296,655.75x = 377,397,048,602.25
  5. Step 5: Solve for x
    x = 377,397,048,602.25/296,655.75
  6. Step 6: Final answer
    x = 1,272,171.70

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.