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Finding the Third Proportional to 540,929.81 and 856,548.84

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Solution

The third proportional to 540,929.81 and 856,548.84 is: 1,356,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,929.81 : 856,548.84 = 856,548.84 : x
  2. Step 2: Convert to fraction form
    540,929.81/856,548.84 = 856,548.84/x
  3. Step 3: Cross multiply
    540,929.81x = 856,548.84 × 856,548.84
  4. Step 4: Simplify right side
    540,929.81x = 733,675,921,729.46
  5. Step 5: Solve for x
    x = 733,675,921,729.46/540,929.81
  6. Step 6: Final answer
    x = 1,356,323.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.