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Finding the Third Proportional to 340,557.75 and 730,012.50

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Solution

The third proportional to 340,557.75 and 730,012.50 is: 1,564,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,557.75 : 730,012.50 = 730,012.50 : x
  2. Step 2: Convert to fraction form
    340,557.75/730,012.50 = 730,012.50/x
  3. Step 3: Cross multiply
    340,557.75x = 730,012.50 × 730,012.50
  4. Step 4: Simplify right side
    340,557.75x = 532,918,250,156.25
  5. Step 5: Solve for x
    x = 532,918,250,156.25/340,557.75
  6. Step 6: Final answer
    x = 1,564,839.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.