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Finding the Third Proportional to 688,332 and 1,476,308

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Solution

The third proportional to 688,332 and 1,476,308 is: 3,166,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,332 : 1,476,308 = 1,476,308 : x
  2. Step 2: Convert to fraction form
    688,332/1,476,308 = 1,476,308/x
  3. Step 3: Cross multiply
    688,332x = 1,476,308 × 1,476,308
  4. Step 4: Simplify right side
    688,332x = 2,179,485,310,864
  5. Step 5: Solve for x
    x = 2,179,485,310,864/688,332
  6. Step 6: Final answer
    x = 3,166,328.62

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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.