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Finding the Third Proportional to 540,486.70 and 794,460.23

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Solution

The third proportional to 540,486.70 and 794,460.23 is: 1,167,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,486.70 : 794,460.23 = 794,460.23 : x
  2. Step 2: Convert to fraction form
    540,486.70/794,460.23 = 794,460.23/x
  3. Step 3: Cross multiply
    540,486.70x = 794,460.23 × 794,460.23
  4. Step 4: Simplify right side
    540,486.70x = 631,167,064,003.18
  5. Step 5: Solve for x
    x = 631,167,064,003.18/540,486.70
  6. Step 6: Final answer
    x = 1,167,775.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.