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Finding the Third Proportional to 429,726.50 and 910,679.50

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Solution

The third proportional to 429,726.50 and 910,679.50 is: 1,929,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,726.50 : 910,679.50 = 910,679.50 : x
  2. Step 2: Convert to fraction form
    429,726.50/910,679.50 = 910,679.50/x
  3. Step 3: Cross multiply
    429,726.50x = 910,679.50 × 910,679.50
  4. Step 4: Simplify right side
    429,726.50x = 829,337,151,720.25
  5. Step 5: Solve for x
    x = 829,337,151,720.25/429,726.50
  6. Step 6: Final answer
    x = 1,929,918.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.