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Finding the Third Proportional to 501,795.84 and 807,964.88

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Solution

The third proportional to 501,795.84 and 807,964.88 is: 1,300,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,795.84 : 807,964.88 = 807,964.88 : x
  2. Step 2: Convert to fraction form
    501,795.84/807,964.88 = 807,964.88/x
  3. Step 3: Cross multiply
    501,795.84x = 807,964.88 × 807,964.88
  4. Step 4: Simplify right side
    501,795.84x = 652,807,239,233.77
  5. Step 5: Solve for x
    x = 652,807,239,233.77/501,795.84
  6. Step 6: Final answer
    x = 1,300,941.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.