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Finding the Third Proportional to 249,739 and 382,943

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Solution

The third proportional to 249,739 and 382,943 is: 587,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,739 : 382,943 = 382,943 : x
  2. Step 2: Convert to fraction form
    249,739/382,943 = 382,943/x
  3. Step 3: Cross multiply
    249,739x = 382,943 × 382,943
  4. Step 4: Simplify right side
    249,739x = 146,645,341,249
  5. Step 5: Solve for x
    x = 146,645,341,249/249,739
  6. Step 6: Final answer
    x = 587,194.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.