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Finding the Third Proportional to 249,964.88 and 549,957.38

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Solution

The third proportional to 249,964.88 and 549,957.38 is: 1,209,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,964.88 : 549,957.38 = 549,957.38 : x
  2. Step 2: Convert to fraction form
    249,964.88/549,957.38 = 549,957.38/x
  3. Step 3: Cross multiply
    249,964.88x = 549,957.38 × 549,957.38
  4. Step 4: Simplify right side
    249,964.88x = 302,453,114,316.89
  5. Step 5: Solve for x
    x = 302,453,114,316.89/249,964.88
  6. Step 6: Final answer
    x = 1,209,982.46

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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.