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Finding the Third Proportional to 565,145 and 853,477.50

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Solution

The third proportional to 565,145 and 853,477.50 is: 1,288,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,145 : 853,477.50 = 853,477.50 : x
  2. Step 2: Convert to fraction form
    565,145/853,477.50 = 853,477.50/x
  3. Step 3: Cross multiply
    565,145x = 853,477.50 × 853,477.50
  4. Step 4: Simplify right side
    565,145x = 728,423,843,006.25
  5. Step 5: Solve for x
    x = 728,423,843,006.25/565,145
  6. Step 6: Final answer
    x = 1,288,914.96

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