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Finding the Third Proportional to 341,556 and 503,494

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Solution

The third proportional to 341,556 and 503,494 is: 742,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,556 : 503,494 = 503,494 : x
  2. Step 2: Convert to fraction form
    341,556/503,494 = 503,494/x
  3. Step 3: Cross multiply
    341,556x = 503,494 × 503,494
  4. Step 4: Simplify right side
    341,556x = 253,506,208,036
  5. Step 5: Solve for x
    x = 253,506,208,036/341,556
  6. Step 6: Final answer
    x = 742,209.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.