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Finding the Third Proportional to 472,954 and 714,341

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Solution

The third proportional to 472,954 and 714,341 is: 1,078,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,954 : 714,341 = 714,341 : x
  2. Step 2: Convert to fraction form
    472,954/714,341 = 714,341/x
  3. Step 3: Cross multiply
    472,954x = 714,341 × 714,341
  4. Step 4: Simplify right side
    472,954x = 510,283,064,281
  5. Step 5: Solve for x
    x = 510,283,064,281/472,954
  6. Step 6: Final answer
    x = 1,078,927.47

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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.