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Finding the Third Proportional to 502,708 and 1,077,378

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Solution

The third proportional to 502,708 and 1,077,378 is: 2,308,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,708 : 1,077,378 = 1,077,378 : x
  2. Step 2: Convert to fraction form
    502,708/1,077,378 = 1,077,378/x
  3. Step 3: Cross multiply
    502,708x = 1,077,378 × 1,077,378
  4. Step 4: Simplify right side
    502,708x = 1,160,743,354,884
  5. Step 5: Solve for x
    x = 1,160,743,354,884/502,708
  6. Step 6: Final answer
    x = 2,308,981.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.