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Finding the Third Proportional to 549,278.72 and 874,048.22

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Solution

The third proportional to 549,278.72 and 874,048.22 is: 1,390,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,278.72 : 874,048.22 = 874,048.22 : x
  2. Step 2: Convert to fraction form
    549,278.72/874,048.22 = 874,048.22/x
  3. Step 3: Cross multiply
    549,278.72x = 874,048.22 × 874,048.22
  4. Step 4: Simplify right side
    549,278.72x = 763,960,288,700.05
  5. Step 5: Solve for x
    x = 763,960,288,700.05/549,278.72
  6. Step 6: Final answer
    x = 1,390,842.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.