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Finding the Third Proportional to 581,642.25 and 868,990.50

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Solution

The third proportional to 581,642.25 and 868,990.50 is: 1,298,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,642.25 : 868,990.50 = 868,990.50 : x
  2. Step 2: Convert to fraction form
    581,642.25/868,990.50 = 868,990.50/x
  3. Step 3: Cross multiply
    581,642.25x = 868,990.50 × 868,990.50
  4. Step 4: Simplify right side
    581,642.25x = 755,144,489,090.25
  5. Step 5: Solve for x
    x = 755,144,489,090.25/581,642.25
  6. Step 6: Final answer
    x = 1,298,297.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.