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Finding the Third Proportional to 346,447.13 and 716,141.25

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Solution

The third proportional to 346,447.13 and 716,141.25 is: 1,480,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,447.13 : 716,141.25 = 716,141.25 : x
  2. Step 2: Convert to fraction form
    346,447.13/716,141.25 = 716,141.25/x
  3. Step 3: Cross multiply
    346,447.13x = 716,141.25 × 716,141.25
  4. Step 4: Simplify right side
    346,447.13x = 512,858,289,951.56
  5. Step 5: Solve for x
    x = 512,858,289,951.56/346,447.13
  6. Step 6: Final answer
    x = 1,480,336.40

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Why These Related Problems?

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