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Finding the Third Proportional to 402,368 and 837,784

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Solution

The third proportional to 402,368 and 837,784 is: 1,744,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,368 : 837,784 = 837,784 : x
  2. Step 2: Convert to fraction form
    402,368/837,784 = 837,784/x
  3. Step 3: Cross multiply
    402,368x = 837,784 × 837,784
  4. Step 4: Simplify right side
    402,368x = 701,882,030,656
  5. Step 5: Solve for x
    x = 701,882,030,656/402,368
  6. Step 6: Final answer
    x = 1,744,378.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.