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Finding the Third Proportional to 314,938.13 and 484,071.19

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Solution

The third proportional to 314,938.13 and 484,071.19 is: 744,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,938.13 : 484,071.19 = 484,071.19 : x
  2. Step 2: Convert to fraction form
    314,938.13/484,071.19 = 484,071.19/x
  3. Step 3: Cross multiply
    314,938.13x = 484,071.19 × 484,071.19
  4. Step 4: Simplify right side
    314,938.13x = 234,324,914,567.66
  5. Step 5: Solve for x
    x = 234,324,914,567.66/314,938.13
  6. Step 6: Final answer
    x = 744,034.77

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Why These Related Problems?

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