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Finding the Third Proportional to 330,009.19 and 695,485.13

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Solution

The third proportional to 330,009.19 and 695,485.13 is: 1,465,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,009.19 : 695,485.13 = 695,485.13 : x
  2. Step 2: Convert to fraction form
    330,009.19/695,485.13 = 695,485.13/x
  3. Step 3: Cross multiply
    330,009.19x = 695,485.13 × 695,485.13
  4. Step 4: Simplify right side
    330,009.19x = 483,699,559,096.27
  5. Step 5: Solve for x
    x = 483,699,559,096.27/330,009.19
  6. Step 6: Final answer
    x = 1,465,715.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.