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Finding the Third Proportional to 341,049 and 535,023

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Solution

The third proportional to 341,049 and 535,023 is: 839,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,049 : 535,023 = 535,023 : x
  2. Step 2: Convert to fraction form
    341,049/535,023 = 535,023/x
  3. Step 3: Cross multiply
    341,049x = 535,023 × 535,023
  4. Step 4: Simplify right side
    341,049x = 286,249,610,529
  5. Step 5: Solve for x
    x = 286,249,610,529/341,049
  6. Step 6: Final answer
    x = 839,321.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.