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Finding the Third Proportional to 249,378 and 376,686

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Solution

The third proportional to 249,378 and 376,686 is: 568,985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,378 : 376,686 = 376,686 : x
  2. Step 2: Convert to fraction form
    249,378/376,686 = 376,686/x
  3. Step 3: Cross multiply
    249,378x = 376,686 × 376,686
  4. Step 4: Simplify right side
    249,378x = 141,892,342,596
  5. Step 5: Solve for x
    x = 141,892,342,596/249,378
  6. Step 6: Final answer
    x = 568,985.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.