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Finding the Third Proportional to 249,253 and 533,929

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Solution

The third proportional to 249,253 and 533,929 is: 1,143,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,253 : 533,929 = 533,929 : x
  2. Step 2: Convert to fraction form
    249,253/533,929 = 533,929/x
  3. Step 3: Cross multiply
    249,253x = 533,929 × 533,929
  4. Step 4: Simplify right side
    249,253x = 285,080,177,041
  5. Step 5: Solve for x
    x = 285,080,177,041/249,253
  6. Step 6: Final answer
    x = 1,143,738.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.