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Finding the Third Proportional to 249,967 and 549,962

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Solution

The third proportional to 249,967 and 549,962 is: 1,209,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,967 : 549,962 = 549,962 : x
  2. Step 2: Convert to fraction form
    249,967/549,962 = 549,962/x
  3. Step 3: Cross multiply
    249,967x = 549,962 × 549,962
  4. Step 4: Simplify right side
    249,967x = 302,458,201,444
  5. Step 5: Solve for x
    x = 302,458,201,444/249,967
  6. Step 6: Final answer
    x = 1,209,992.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.