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Finding the Third Proportional to 576,409.50 and 866,470.50

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Solution

The third proportional to 576,409.50 and 866,470.50 is: 1,302,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,409.50 : 866,470.50 = 866,470.50 : x
  2. Step 2: Convert to fraction form
    576,409.50/866,470.50 = 866,470.50/x
  3. Step 3: Cross multiply
    576,409.50x = 866,470.50 × 866,470.50
  4. Step 4: Simplify right side
    576,409.50x = 750,771,127,370.25
  5. Step 5: Solve for x
    x = 750,771,127,370.25/576,409.50
  6. Step 6: Final answer
    x = 1,302,496.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.