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Finding the Third Proportional to 249,867 and 549,488

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Solution

The third proportional to 249,867 and 549,488 is: 1,208,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,867 : 549,488 = 549,488 : x
  2. Step 2: Convert to fraction form
    249,867/549,488 = 549,488/x
  3. Step 3: Cross multiply
    249,867x = 549,488 × 549,488
  4. Step 4: Simplify right side
    249,867x = 301,937,062,144
  5. Step 5: Solve for x
    x = 301,937,062,144/249,867
  6. Step 6: Final answer
    x = 1,208,391.11

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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.