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Finding the Third Proportional to 355,502.50 and 503,023

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Solution

The third proportional to 355,502.50 and 503,023 is: 711,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,502.50 : 503,023 = 503,023 : x
  2. Step 2: Convert to fraction form
    355,502.50/503,023 = 503,023/x
  3. Step 3: Cross multiply
    355,502.50x = 503,023 × 503,023
  4. Step 4: Simplify right side
    355,502.50x = 253,032,138,529
  5. Step 5: Solve for x
    x = 253,032,138,529/355,502.50
  6. Step 6: Final answer
    x = 711,759.10

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Why These Related Problems?

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