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Finding the Third Proportional to 249,024 and 386,232

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Solution

The third proportional to 249,024 and 386,232 is: 599,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,024 : 386,232 = 386,232 : x
  2. Step 2: Convert to fraction form
    249,024/386,232 = 386,232/x
  3. Step 3: Cross multiply
    249,024x = 386,232 × 386,232
  4. Step 4: Simplify right side
    249,024x = 149,175,157,824
  5. Step 5: Solve for x
    x = 149,175,157,824/249,024
  6. Step 6: Final answer
    x = 599,039.28

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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.