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Finding the Third Proportional to 360,389 and 546,906

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Solution

The third proportional to 360,389 and 546,906 is: 829,953.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,389 : 546,906 = 546,906 : x
  2. Step 2: Convert to fraction form
    360,389/546,906 = 546,906/x
  3. Step 3: Cross multiply
    360,389x = 546,906 × 546,906
  4. Step 4: Simplify right side
    360,389x = 299,106,172,836
  5. Step 5: Solve for x
    x = 299,106,172,836/360,389
  6. Step 6: Final answer
    x = 829,953.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.