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Finding the Third Proportional to 295,382 and 647,946

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Solution

The third proportional to 295,382 and 647,946 is: 1,421,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,382 : 647,946 = 647,946 : x
  2. Step 2: Convert to fraction form
    295,382/647,946 = 647,946/x
  3. Step 3: Cross multiply
    295,382x = 647,946 × 647,946
  4. Step 4: Simplify right side
    295,382x = 419,834,018,916
  5. Step 5: Solve for x
    x = 419,834,018,916/295,382
  6. Step 6: Final answer
    x = 1,421,325.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.