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Finding the Third Proportional to 581,550 and 785,529

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Solution

The third proportional to 581,550 and 785,529 is: 1,061,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,550 : 785,529 = 785,529 : x
  2. Step 2: Convert to fraction form
    581,550/785,529 = 785,529/x
  3. Step 3: Cross multiply
    581,550x = 785,529 × 785,529
  4. Step 4: Simplify right side
    581,550x = 617,055,809,841
  5. Step 5: Solve for x
    x = 617,055,809,841/581,550
  6. Step 6: Final answer
    x = 1,061,053.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.