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Finding the Third Proportional to 249,969 and 549,966

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Solution

The third proportional to 249,969 and 549,966 is: 1,210,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,969 : 549,966 = 549,966 : x
  2. Step 2: Convert to fraction form
    249,969/549,966 = 549,966/x
  3. Step 3: Cross multiply
    249,969x = 549,966 × 549,966
  4. Step 4: Simplify right side
    249,969x = 302,462,601,156
  5. Step 5: Solve for x
    x = 302,462,601,156/249,969
  6. Step 6: Final answer
    x = 1,210,000.44

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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.