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Finding the Third Proportional to 619,346.25 and 917,507.25

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Solution

The third proportional to 619,346.25 and 917,507.25 is: 1,359,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,346.25 : 917,507.25 = 917,507.25 : x
  2. Step 2: Convert to fraction form
    619,346.25/917,507.25 = 917,507.25/x
  3. Step 3: Cross multiply
    619,346.25x = 917,507.25 × 917,507.25
  4. Step 4: Simplify right side
    619,346.25x = 841,819,553,802.56
  5. Step 5: Solve for x
    x = 841,819,553,802.56/619,346.25
  6. Step 6: Final answer
    x = 1,359,206.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.