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Finding the Third Proportional to 365,484.75 and 562,500

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Solution

The third proportional to 365,484.75 and 562,500 is: 865,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,484.75 : 562,500 = 562,500 : x
  2. Step 2: Convert to fraction form
    365,484.75/562,500 = 562,500/x
  3. Step 3: Cross multiply
    365,484.75x = 562,500 × 562,500
  4. Step 4: Simplify right side
    365,484.75x = 316,406,250,000
  5. Step 5: Solve for x
    x = 316,406,250,000/365,484.75
  6. Step 6: Final answer
    x = 865,716.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.