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Finding the Third Proportional to 365,527.69 and 564,886.41

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Solution

The third proportional to 365,527.69 and 564,886.41 is: 872,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,527.69 : 564,886.41 = 564,886.41 : x
  2. Step 2: Convert to fraction form
    365,527.69/564,886.41 = 564,886.41/x
  3. Step 3: Cross multiply
    365,527.69x = 564,886.41 × 564,886.41
  4. Step 4: Simplify right side
    365,527.69x = 319,096,651,966.04
  5. Step 5: Solve for x
    x = 319,096,651,966.04/365,527.69
  6. Step 6: Final answer
    x = 872,975.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.