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Finding the Third Proportional to 249,296 and 386,748

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Solution

The third proportional to 249,296 and 386,748 is: 599,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,296 : 386,748 = 386,748 : x
  2. Step 2: Convert to fraction form
    249,296/386,748 = 386,748/x
  3. Step 3: Cross multiply
    249,296x = 386,748 × 386,748
  4. Step 4: Simplify right side
    249,296x = 149,574,015,504
  5. Step 5: Solve for x
    x = 149,574,015,504/249,296
  6. Step 6: Final answer
    x = 599,985.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.