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Finding the Third Proportional to 581,214 and 785,025

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Solution

The third proportional to 581,214 and 785,025 is: 1,060,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,214 : 785,025 = 785,025 : x
  2. Step 2: Convert to fraction form
    581,214/785,025 = 785,025/x
  3. Step 3: Cross multiply
    581,214x = 785,025 × 785,025
  4. Step 4: Simplify right side
    581,214x = 616,264,250,625
  5. Step 5: Solve for x
    x = 616,264,250,625/581,214
  6. Step 6: Final answer
    x = 1,060,305.24

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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.