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Finding the Third Proportional to 249,644 and 520,024

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Solution

The third proportional to 249,644 and 520,024 is: 1,083,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,644 : 520,024 = 520,024 : x
  2. Step 2: Convert to fraction form
    249,644/520,024 = 520,024/x
  3. Step 3: Cross multiply
    249,644x = 520,024 × 520,024
  4. Step 4: Simplify right side
    249,644x = 270,424,960,576
  5. Step 5: Solve for x
    x = 270,424,960,576/249,644
  6. Step 6: Final answer
    x = 1,083,242.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.