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Finding the Third Proportional to 301,708.50 and 415,605.38

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Solution

The third proportional to 301,708.50 and 415,605.38 is: 572,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,708.50 : 415,605.38 = 415,605.38 : x
  2. Step 2: Convert to fraction form
    301,708.50/415,605.38 = 415,605.38/x
  3. Step 3: Cross multiply
    301,708.50x = 415,605.38 × 415,605.38
  4. Step 4: Simplify right side
    301,708.50x = 172,727,827,728.89
  5. Step 5: Solve for x
    x = 172,727,827,728.89/301,708.50
  6. Step 6: Final answer
    x = 572,499.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.