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Finding the Third Proportional to 260,835.19 and 549,688.78

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Solution

The third proportional to 260,835.19 and 549,688.78 is: 1,158,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,835.19 : 549,688.78 = 549,688.78 : x
  2. Step 2: Convert to fraction form
    260,835.19/549,688.78 = 549,688.78/x
  3. Step 3: Cross multiply
    260,835.19x = 549,688.78 × 549,688.78
  4. Step 4: Simplify right side
    260,835.19x = 302,157,756,232.11
  5. Step 5: Solve for x
    x = 302,157,756,232.11/260,835.19
  6. Step 6: Final answer
    x = 1,158,424.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.