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Finding the Third Proportional to 370,948.50 and 503,862.75

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Solution

The third proportional to 370,948.50 and 503,862.75 is: 684,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,948.50 : 503,862.75 = 503,862.75 : x
  2. Step 2: Convert to fraction form
    370,948.50/503,862.75 = 503,862.75/x
  3. Step 3: Cross multiply
    370,948.50x = 503,862.75 × 503,862.75
  4. Step 4: Simplify right side
    370,948.50x = 253,877,670,837.56
  5. Step 5: Solve for x
    x = 253,877,670,837.56/370,948.50
  6. Step 6: Final answer
    x = 684,401.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.