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Finding the Third Proportional to 581,726 and 853,437

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Solution

The third proportional to 581,726 and 853,437 is: 1,252,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,726 : 853,437 = 853,437 : x
  2. Step 2: Convert to fraction form
    581,726/853,437 = 853,437/x
  3. Step 3: Cross multiply
    581,726x = 853,437 × 853,437
  4. Step 4: Simplify right side
    581,726x = 728,354,712,969
  5. Step 5: Solve for x
    x = 728,354,712,969/581,726
  6. Step 6: Final answer
    x = 1,252,058.04

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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.