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Finding the Third Proportional to 581,850 and 925,290

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Solution

The third proportional to 581,850 and 925,290 is: 1,471,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,850 : 925,290 = 925,290 : x
  2. Step 2: Convert to fraction form
    581,850/925,290 = 925,290/x
  3. Step 3: Cross multiply
    581,850x = 925,290 × 925,290
  4. Step 4: Simplify right side
    581,850x = 856,161,584,100
  5. Step 5: Solve for x
    x = 856,161,584,100/581,850
  6. Step 6: Final answer
    x = 1,471,447.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.