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Finding the Third Proportional to 355,492.55 and 503,011.27

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Solution

The third proportional to 355,492.55 and 503,011.27 is: 711,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,492.55 : 503,011.27 = 503,011.27 : x
  2. Step 2: Convert to fraction form
    355,492.55/503,011.27 = 503,011.27/x
  3. Step 3: Cross multiply
    355,492.55x = 503,011.27 × 503,011.27
  4. Step 4: Simplify right side
    355,492.55x = 253,020,333,345.66
  5. Step 5: Solve for x
    x = 253,020,333,345.66/355,492.55
  6. Step 6: Final answer
    x = 711,745.82

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.