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Finding the Third Proportional to 491,123.50 and 738,514.50

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Solution

The third proportional to 491,123.50 and 738,514.50 is: 1,110,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,123.50 : 738,514.50 = 738,514.50 : x
  2. Step 2: Convert to fraction form
    491,123.50/738,514.50 = 738,514.50/x
  3. Step 3: Cross multiply
    491,123.50x = 738,514.50 × 738,514.50
  4. Step 4: Simplify right side
    491,123.50x = 545,403,666,710.25
  5. Step 5: Solve for x
    x = 545,403,666,710.25/491,123.50
  6. Step 6: Final answer
    x = 1,110,522.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.