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Finding the Third Proportional to 351,388 and 766,382

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Solution

The third proportional to 351,388 and 766,382 is: 1,671,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,388 : 766,382 = 766,382 : x
  2. Step 2: Convert to fraction form
    351,388/766,382 = 766,382/x
  3. Step 3: Cross multiply
    351,388x = 766,382 × 766,382
  4. Step 4: Simplify right side
    351,388x = 587,341,369,924
  5. Step 5: Solve for x
    x = 587,341,369,924/351,388
  6. Step 6: Final answer
    x = 1,671,489.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.