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Finding the Third Proportional to 259,248 and 549,312

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Solution

The third proportional to 259,248 and 549,312 is: 1,163,919.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,248 : 549,312 = 549,312 : x
  2. Step 2: Convert to fraction form
    259,248/549,312 = 549,312/x
  3. Step 3: Cross multiply
    259,248x = 549,312 × 549,312
  4. Step 4: Simplify right side
    259,248x = 301,743,673,344
  5. Step 5: Solve for x
    x = 301,743,673,344/259,248
  6. Step 6: Final answer
    x = 1,163,919.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.