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Finding the Third Proportional to 565,465.50 and 853,416

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Solution

The third proportional to 565,465.50 and 853,416 is: 1,287,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,465.50 : 853,416 = 853,416 : x
  2. Step 2: Convert to fraction form
    565,465.50/853,416 = 853,416/x
  3. Step 3: Cross multiply
    565,465.50x = 853,416 × 853,416
  4. Step 4: Simplify right side
    565,465.50x = 728,318,869,056
  5. Step 5: Solve for x
    x = 728,318,869,056/565,465.50
  6. Step 6: Final answer
    x = 1,287,998.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.