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Finding the Third Proportional to 581,724 and 853,434

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Solution

The third proportional to 581,724 and 853,434 is: 1,252,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,724 : 853,434 = 853,434 : x
  2. Step 2: Convert to fraction form
    581,724/853,434 = 853,434/x
  3. Step 3: Cross multiply
    581,724x = 853,434 × 853,434
  4. Step 4: Simplify right side
    581,724x = 728,349,592,356
  5. Step 5: Solve for x
    x = 728,349,592,356/581,724
  6. Step 6: Final answer
    x = 1,252,053.54

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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.