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Finding the Third Proportional to 581,011 and 880,210.50

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Solution

The third proportional to 581,011 and 880,210.50 is: 1,333,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,011 : 880,210.50 = 880,210.50 : x
  2. Step 2: Convert to fraction form
    581,011/880,210.50 = 880,210.50/x
  3. Step 3: Cross multiply
    581,011x = 880,210.50 × 880,210.50
  4. Step 4: Simplify right side
    581,011x = 774,770,524,310.25
  5. Step 5: Solve for x
    x = 774,770,524,310.25/581,011
  6. Step 6: Final answer
    x = 1,333,486.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.