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Finding the Third Proportional to 328,263.38 and 714,041.81

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Solution

The third proportional to 328,263.38 and 714,041.81 is: 1,553,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,263.38 : 714,041.81 = 714,041.81 : x
  2. Step 2: Convert to fraction form
    328,263.38/714,041.81 = 714,041.81/x
  3. Step 3: Cross multiply
    328,263.38x = 714,041.81 × 714,041.81
  4. Step 4: Simplify right side
    328,263.38x = 509,855,709,998.29
  5. Step 5: Solve for x
    x = 509,855,709,998.29/328,263.38
  6. Step 6: Final answer
    x = 1,553,190.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.