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Finding the Third Proportional to 260,854 and 549,729

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Solution

The third proportional to 260,854 and 549,729 is: 1,158,510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,854 : 549,729 = 549,729 : x
  2. Step 2: Convert to fraction form
    260,854/549,729 = 549,729/x
  3. Step 3: Cross multiply
    260,854x = 549,729 × 549,729
  4. Step 4: Simplify right side
    260,854x = 302,201,973,441
  5. Step 5: Solve for x
    x = 302,201,973,441/260,854
  6. Step 6: Final answer
    x = 1,158,510.02

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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.