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Finding the Third Proportional to 249,853.50 and 549,519

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Solution

The third proportional to 249,853.50 and 549,519 is: 1,208,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,853.50 : 549,519 = 549,519 : x
  2. Step 2: Convert to fraction form
    249,853.50/549,519 = 549,519/x
  3. Step 3: Cross multiply
    249,853.50x = 549,519 × 549,519
  4. Step 4: Simplify right side
    249,853.50x = 301,971,131,361
  5. Step 5: Solve for x
    x = 301,971,131,361/249,853.50
  6. Step 6: Final answer
    x = 1,208,592.76

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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.