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Finding the Third Proportional to 565,200 and 853,560

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Solution

The third proportional to 565,200 and 853,560 is: 1,289,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,200 : 853,560 = 853,560 : x
  2. Step 2: Convert to fraction form
    565,200/853,560 = 853,560/x
  3. Step 3: Cross multiply
    565,200x = 853,560 × 853,560
  4. Step 4: Simplify right side
    565,200x = 728,564,673,600
  5. Step 5: Solve for x
    x = 728,564,673,600/565,200
  6. Step 6: Final answer
    x = 1,289,038.70

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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.