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Finding the Third Proportional to 249,894 and 387,054

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Solution

The third proportional to 249,894 and 387,054 is: 599,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,894 : 387,054 = 387,054 : x
  2. Step 2: Convert to fraction form
    249,894/387,054 = 387,054/x
  3. Step 3: Cross multiply
    249,894x = 387,054 × 387,054
  4. Step 4: Simplify right side
    249,894x = 149,810,798,916
  5. Step 5: Solve for x
    x = 149,810,798,916/249,894
  6. Step 6: Final answer
    x = 599,497.38

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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.