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Finding the Third Proportional to 369,768 and 549,216

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Solution

The third proportional to 369,768 and 549,216 is: 815,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,768 : 549,216 = 549,216 : x
  2. Step 2: Convert to fraction form
    369,768/549,216 = 549,216/x
  3. Step 3: Cross multiply
    369,768x = 549,216 × 549,216
  4. Step 4: Simplify right side
    369,768x = 301,638,214,656
  5. Step 5: Solve for x
    x = 301,638,214,656/369,768
  6. Step 6: Final answer
    x = 815,749.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.