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Finding the Third Proportional to 549,848.25 and 1,164,820.50

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Solution

The third proportional to 549,848.25 and 1,164,820.50 is: 2,467,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,848.25 : 1,164,820.50 = 1,164,820.50 : x
  2. Step 2: Convert to fraction form
    549,848.25/1,164,820.50 = 1,164,820.50/x
  3. Step 3: Cross multiply
    549,848.25x = 1,164,820.50 × 1,164,820.50
  4. Step 4: Simplify right side
    549,848.25x = 1,356,806,797,220.25
  5. Step 5: Solve for x
    x = 1,356,806,797,220.25/549,848.25
  6. Step 6: Final answer
    x = 2,467,602.28

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