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Finding the Third Proportional to 249,413 and 365,275

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Solution

The third proportional to 249,413 and 365,275 is: 534,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,413 : 365,275 = 365,275 : x
  2. Step 2: Convert to fraction form
    249,413/365,275 = 365,275/x
  3. Step 3: Cross multiply
    249,413x = 365,275 × 365,275
  4. Step 4: Simplify right side
    249,413x = 133,425,825,625
  5. Step 5: Solve for x
    x = 133,425,825,625/249,413
  6. Step 6: Final answer
    x = 534,959.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.