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Finding the Third Proportional to 360,828 and 549,748

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Solution

The third proportional to 360,828 and 549,748 is: 837,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,828 : 549,748 = 549,748 : x
  2. Step 2: Convert to fraction form
    360,828/549,748 = 549,748/x
  3. Step 3: Cross multiply
    360,828x = 549,748 × 549,748
  4. Step 4: Simplify right side
    360,828x = 302,222,863,504
  5. Step 5: Solve for x
    x = 302,222,863,504/360,828
  6. Step 6: Final answer
    x = 837,581.52

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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.