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Finding the Third Proportional to 572,188 and 840,764

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Solution

The third proportional to 572,188 and 840,764 is: 1,235,405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,188 : 840,764 = 840,764 : x
  2. Step 2: Convert to fraction form
    572,188/840,764 = 840,764/x
  3. Step 3: Cross multiply
    572,188x = 840,764 × 840,764
  4. Step 4: Simplify right side
    572,188x = 706,884,103,696
  5. Step 5: Solve for x
    x = 706,884,103,696/572,188
  6. Step 6: Final answer
    x = 1,235,405.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.