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Finding the Third Proportional to 730,302.75 and 1,577,245.50

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Solution

The third proportional to 730,302.75 and 1,577,245.50 is: 3,406,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,302.75 : 1,577,245.50 = 1,577,245.50 : x
  2. Step 2: Convert to fraction form
    730,302.75/1,577,245.50 = 1,577,245.50/x
  3. Step 3: Cross multiply
    730,302.75x = 1,577,245.50 × 1,577,245.50
  4. Step 4: Simplify right side
    730,302.75x = 2,487,703,367,270.25
  5. Step 5: Solve for x
    x = 2,487,703,367,270.25/730,302.75
  6. Step 6: Final answer
    x = 3,406,400.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.