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Finding the Third Proportional to 368,964 and 556,834

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Solution

The third proportional to 368,964 and 556,834 is: 840,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,964 : 556,834 = 556,834 : x
  2. Step 2: Convert to fraction form
    368,964/556,834 = 556,834/x
  3. Step 3: Cross multiply
    368,964x = 556,834 × 556,834
  4. Step 4: Simplify right side
    368,964x = 310,064,103,556
  5. Step 5: Solve for x
    x = 310,064,103,556/368,964
  6. Step 6: Final answer
    x = 840,364.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.