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Finding the Third Proportional to 358,132 and 765,428

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Solution

The third proportional to 358,132 and 765,428 is: 1,635,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,132 : 765,428 = 765,428 : x
  2. Step 2: Convert to fraction form
    358,132/765,428 = 765,428/x
  3. Step 3: Cross multiply
    358,132x = 765,428 × 765,428
  4. Step 4: Simplify right side
    358,132x = 585,880,023,184
  5. Step 5: Solve for x
    x = 585,880,023,184/358,132
  6. Step 6: Final answer
    x = 1,635,933.18

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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.