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Finding the Third Proportional to 291,312 and 439,074

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Solution

The third proportional to 291,312 and 439,074 is: 661,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,312 : 439,074 = 439,074 : x
  2. Step 2: Convert to fraction form
    291,312/439,074 = 439,074/x
  3. Step 3: Cross multiply
    291,312x = 439,074 × 439,074
  4. Step 4: Simplify right side
    291,312x = 192,785,977,476
  5. Step 5: Solve for x
    x = 192,785,977,476/291,312
  6. Step 6: Final answer
    x = 661,785.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.