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Finding the Third Proportional to 360,834 and 549,762

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Solution

The third proportional to 360,834 and 549,762 is: 837,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,834 : 549,762 = 549,762 : x
  2. Step 2: Convert to fraction form
    360,834/549,762 = 549,762/x
  3. Step 3: Cross multiply
    360,834x = 549,762 × 549,762
  4. Step 4: Simplify right side
    360,834x = 302,238,256,644
  5. Step 5: Solve for x
    x = 302,238,256,644/360,834
  6. Step 6: Final answer
    x = 837,610.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.