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Finding the Third Proportional to 252,712.41 and 549,703.02

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Solution

The third proportional to 252,712.41 and 549,703.02 is: 1,195,720.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,712.41 : 549,703.02 = 549,703.02 : x
  2. Step 2: Convert to fraction form
    252,712.41/549,703.02 = 549,703.02/x
  3. Step 3: Cross multiply
    252,712.41x = 549,703.02 × 549,703.02
  4. Step 4: Simplify right side
    252,712.41x = 302,173,409,681.76
  5. Step 5: Solve for x
    x = 302,173,409,681.76/252,712.41
  6. Step 6: Final answer
    x = 1,195,720.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.