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Finding the Third Proportional to 702,307.13 and 1,534,632.75

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Solution

The third proportional to 702,307.13 and 1,534,632.75 is: 3,353,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,307.13 : 1,534,632.75 = 1,534,632.75 : x
  2. Step 2: Convert to fraction form
    702,307.13/1,534,632.75 = 1,534,632.75/x
  3. Step 3: Cross multiply
    702,307.13x = 1,534,632.75 × 1,534,632.75
  4. Step 4: Simplify right side
    702,307.13x = 2,355,097,677,372.56
  5. Step 5: Solve for x
    x = 2,355,097,677,372.56/702,307.13
  6. Step 6: Final answer
    x = 3,353,372.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.