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Finding the Third Proportional to 401,952 and 836,981.25

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Solution

The third proportional to 401,952 and 836,981.25 is: 1,742,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,952 : 836,981.25 = 836,981.25 : x
  2. Step 2: Convert to fraction form
    401,952/836,981.25 = 836,981.25/x
  3. Step 3: Cross multiply
    401,952x = 836,981.25 × 836,981.25
  4. Step 4: Simplify right side
    401,952x = 700,537,612,851.56
  5. Step 5: Solve for x
    x = 700,537,612,851.56/401,952
  6. Step 6: Final answer
    x = 1,742,838.98

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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.