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Finding the Third Proportional to 338,719.50 and 730,314

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Solution

The third proportional to 338,719.50 and 730,314 is: 1,574,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,719.50 : 730,314 = 730,314 : x
  2. Step 2: Convert to fraction form
    338,719.50/730,314 = 730,314/x
  3. Step 3: Cross multiply
    338,719.50x = 730,314 × 730,314
  4. Step 4: Simplify right side
    338,719.50x = 533,358,538,596
  5. Step 5: Solve for x
    x = 533,358,538,596/338,719.50
  6. Step 6: Final answer
    x = 1,574,631.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.