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Finding the Third Proportional to 360,838 and 549,768

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Solution

The third proportional to 360,838 and 549,768 is: 837,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,838 : 549,768 = 549,768 : x
  2. Step 2: Convert to fraction form
    360,838/549,768 = 549,768/x
  3. Step 3: Cross multiply
    360,838x = 549,768 × 549,768
  4. Step 4: Simplify right side
    360,838x = 302,244,853,824
  5. Step 5: Solve for x
    x = 302,244,853,824/360,838
  6. Step 6: Final answer
    x = 837,619.25

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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.