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Finding the Third Proportional to 576,443.25 and 866,511

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Solution

The third proportional to 576,443.25 and 866,511 is: 1,302,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,443.25 : 866,511 = 866,511 : x
  2. Step 2: Convert to fraction form
    576,443.25/866,511 = 866,511/x
  3. Step 3: Cross multiply
    576,443.25x = 866,511 × 866,511
  4. Step 4: Simplify right side
    576,443.25x = 750,841,313,121
  5. Step 5: Solve for x
    x = 750,841,313,121/576,443.25
  6. Step 6: Final answer
    x = 1,302,541.60

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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.