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Finding the Third Proportional to 255,038.63 and 549,904.50

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Solution

The third proportional to 255,038.63 and 549,904.50 is: 1,185,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,038.63 : 549,904.50 = 549,904.50 : x
  2. Step 2: Convert to fraction form
    255,038.63/549,904.50 = 549,904.50/x
  3. Step 3: Cross multiply
    255,038.63x = 549,904.50 × 549,904.50
  4. Step 4: Simplify right side
    255,038.63x = 302,394,959,120.25
  5. Step 5: Solve for x
    x = 302,394,959,120.25/255,038.63
  6. Step 6: Final answer
    x = 1,185,682.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.