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Finding the Third Proportional to 341,417 and 535,508

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Solution

The third proportional to 341,417 and 535,508 is: 839,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,417 : 535,508 = 535,508 : x
  2. Step 2: Convert to fraction form
    341,417/535,508 = 535,508/x
  3. Step 3: Cross multiply
    341,417x = 535,508 × 535,508
  4. Step 4: Simplify right side
    341,417x = 286,768,818,064
  5. Step 5: Solve for x
    x = 286,768,818,064/341,417
  6. Step 6: Final answer
    x = 839,937.14

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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.