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Finding the Third Proportional to 565,354.69 and 874,276.03

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Solution

The third proportional to 565,354.69 and 874,276.03 is: 1,351,998.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,354.69 : 874,276.03 = 874,276.03 : x
  2. Step 2: Convert to fraction form
    565,354.69/874,276.03 = 874,276.03/x
  3. Step 3: Cross multiply
    565,354.69x = 874,276.03 × 874,276.03
  4. Step 4: Simplify right side
    565,354.69x = 764,358,578,818.25
  5. Step 5: Solve for x
    x = 764,358,578,818.25/565,354.69
  6. Step 6: Final answer
    x = 1,351,998.30

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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.